First, we need to determine the capacity of the small bin.
Since the large bin can hold up to 44 towels, the small bin, which holds three-fourths of the volume of the large bin, can hold:
\[ \text{Capacity of small bin} = \frac{3}{4} \times 44 = 33 \text{ towels} \]
Now, you've already put 17 towels in the small bin. To find out how many more towels you can store in the small bin, subtract the number of towels already in the small bin from its total capacity:
\[ \text{Remaining capacity in small bin} = 33 - 17 = 16 \text{ towels} \]
Therefore, you can store up to 16 more towels in the small bin.