At some point that is pretty much an irreducible problem
It's not. The truth is the whole concept of "learning styles" is basically like the pudding model of the atom: it's cute, but it's not real.
Take me for instance: I'm more of an auditory or kinesthetic learner than a visual learner. Why? Because when I hear things, I turn sounds into images, feelings, colors, movement, ideas--my brain encodes sound in an explosive sensory manner. I process all of these things visually: emotions, movement, and abstract ideas are visual things--some don't have image data, but are still visual (yes I know, that makes no sense). Kinesthetic learning, as well, gives me a huge stream of visual information to work with; I don't remember the feeling, the movements, the actions, but rather what I saw and what I examined at every step.
Our different learning styles are essentially based in how effectively we can attend different information, which can be taught. I can teach you to pay attention to sounds, to visualize things people say, to visualize what you read, and to pay attention to the visual and auditory cues present when carrying out an instructive task. That, in turn, moves the information through the efficient memory model of visual memory, which is really how all humans learn best.
Auditory and kinesthetic learners are really good at accessing the extreme amounts of data in these tasks and converting them to visual data; they are, however, all visual learners. We can easily train all students to learn in these ways, thus reducing the problem to simply maximizing the structure and amount of information provided, which itself is a simple problem narrowing us down to exactly one particular style of learning adjusted for the crude speed of the learner (of course, the speed is based on how much information they have: they may learn new things slowly, but they'll expand on well-learned ideas quickly, so even slow learners can catch up).
Everyone wants simple answers, and everyone wants a romantic dream. In education, this comes down to ignoring the complexities of the human mind--don't think for a minute that the simple explanation above means simple implementation--and instead going with goofy theories that only require a modicum of effort--"show pictures, sound, and then have them do hands-on, and you'll easily teach all types of learners!" You're gonna need more sweat and blood invested than that; you have to teach these kids to learn, first and foremost.