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Finding the Fourth Proportional to 16,456.38, 24,684.86 and 5,363.02

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Solution

The fourth proportional to 16,456.38, 24,684.86 and 5,363.02 is: 8,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.38 : 24,684.86 = 5,363.02 : x
  2. Step 2: Convert to fraction form
    16,456.38/24,684.86 = 5,363.02/x
  3. Step 3: Cross multiply
    16,456.38x = 24,684.86 × 5,363.02
  4. Step 4: Simplify right side
    16,456.38x = 132,385,397.88
  5. Step 5: Solve for x
    x = 132,385,397.88/16,456.38
  6. Step 6: Final answer
    x = 8,044.62

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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.