Sasha and Chloe are throwing darts at a map of the complex plane. Sasha's dart lands on the point $15+8i$. Chloe's dart lands on the point $3-4i$. How much closer to the origin is Chloe's dart compared to Sasha's?
The distance from one point to the origin is equivalent to the magnitude. The distance from Sasha's dart is $|15+8i| = \sqrt{15^2 + 8^2} = 17$. The distance from Chloe's dart is $|3-4i| = \sqrt{3^2 + 4^2} = 5$. We need to calculate the difference in the distances. Chloe's dart is closer by a distance of $17 - 5 = \boxed{12}$.