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Finding the Fourth Proportional to 15,737.40, 23,605.98 and 6,377.28

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Solution

The fourth proportional to 15,737.40, 23,605.98 and 6,377.28 is: 9,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.40 : 23,605.98 = 6,377.28 : x
  2. Step 2: Convert to fraction form
    15,737.40/23,605.98 = 6,377.28/x
  3. Step 3: Cross multiply
    15,737.40x = 23,605.98 × 6,377.28
  4. Step 4: Simplify right side
    15,737.40x = 150,541,944.13
  5. Step 5: Solve for x
    x = 150,541,944.13/15,737.40
  6. Step 6: Final answer
    x = 9,565.87

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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.