Express 18 as a product of prime factors.

$$\text{Average} \approx 30.67\%$$

The average of 38%, 32%, and 22% is $\boxed{30.67\%}$.

$$24178 \approx 24200$$

24178 rounded to the nearest hundred is $\boxed{24200}$.

So, the prime factors are 2, 3, and 3.

$$18 = 2 \times 3 \times 3$$

The product of prime factors for 18 is $\boxed{2 \times 3^{2}}$.

$$6x + 2 - 2 > 10 - 2$$ $$6x > 8$$

$$x > \frac{4}{3}$$

The solution to the inequation is $\boxed{x > \frac{4}{3}}$.