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Finding the Fourth Proportional to 24,322.72, 33,565.10 and 13,715.78

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Solution

The fourth proportional to 24,322.72, 33,565.10 and 13,715.78 is: 18,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.72 : 33,565.10 = 13,715.78 : x
  2. Step 2: Convert to fraction form
    24,322.72/33,565.10 = 13,715.78/x
  3. Step 3: Cross multiply
    24,322.72x = 33,565.10 × 13,715.78
  4. Step 4: Simplify right side
    24,322.72x = 460,371,527.28
  5. Step 5: Solve for x
    x = 460,371,527.28/24,322.72
  6. Step 6: Final answer
    x = 18,927.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.