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Finding the Fourth Proportional to 16,302.38, 24,456.73 and 6,942.24

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Solution

The fourth proportional to 16,302.38, 24,456.73 and 6,942.24 is: 10,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.38 : 24,456.73 = 6,942.24 : x
  2. Step 2: Convert to fraction form
    16,302.38/24,456.73 = 6,942.24/x
  3. Step 3: Cross multiply
    16,302.38x = 24,456.73 × 6,942.24
  4. Step 4: Simplify right side
    16,302.38x = 169,784,489.28
  5. Step 5: Solve for x
    x = 169,784,489.28/16,302.38
  6. Step 6: Final answer
    x = 10,414.71

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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.