Final Answer:
The correct answer is 19.2.
Step-by-step explanation:
To determine the answer, we need to find the common factor or relationship among the given options. Upon examination, it is evident that each of the answer options is a multiple of 0.6. By dividing each option by 0.6, we can identify the underlying pattern. Let's perform the calculation:
\[ \frac{30}{0.6} = 50, \quad \frac{19.2}{0.6} = 32, \quad \frac{14.4}{0.6} = 24, \quad \text{and} \quad \frac{10.8}{0.6} = 18. \]
Now, we can observe that 32 (the result of \(\frac{19.2}{0.6}\)) is the common factor among the options. Therefore, 19.2 is the correct answer. This mathematical approach ensures precision and clarity in arriving at the final solution.
In summary, the pattern in the answer options lies in the multiplication of a common factor, 0.6. By recognizing and applying this pattern, we can efficiently deduce that 19.2 is the correct answer. This method not only provides the solution but also establishes a logical and systematic approach to problem-solving, which is crucial in mathematical reasoning.