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Finding the Fourth Proportional to 24,312.69, 36,472.92 and 10,272.85

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Solution

The fourth proportional to 24,312.69, 36,472.92 and 10,272.85 is: 15,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.69 : 36,472.92 = 10,272.85 : x
  2. Step 2: Convert to fraction form
    24,312.69/36,472.92 = 10,272.85/x
  3. Step 3: Cross multiply
    24,312.69x = 36,472.92 × 10,272.85
  4. Step 4: Simplify right side
    24,312.69x = 374,680,745.04
  5. Step 5: Solve for x
    x = 374,680,745.04/24,312.69
  6. Step 6: Final answer
    x = 15,410.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.