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Finding the Fourth Proportional to 16,489.85, 24,737.81 and 5,397.17

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Solution

The fourth proportional to 16,489.85, 24,737.81 and 5,397.17 is: 8,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.85 : 24,737.81 = 5,397.17 : x
  2. Step 2: Convert to fraction form
    16,489.85/24,737.81 = 5,397.17/x
  3. Step 3: Cross multiply
    16,489.85x = 24,737.81 × 5,397.17
  4. Step 4: Simplify right side
    16,489.85x = 133,514,015.32
  5. Step 5: Solve for x
    x = 133,514,015.32/16,489.85
  6. Step 6: Final answer
    x = 8,096.74

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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.