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Finding the Fourth Proportional to 24,280.57, 36,426.48 and 7,640.17

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Solution

The fourth proportional to 24,280.57, 36,426.48 and 7,640.17 is: 11,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.57 : 36,426.48 = 7,640.17 : x
  2. Step 2: Convert to fraction form
    24,280.57/36,426.48 = 7,640.17/x
  3. Step 3: Cross multiply
    24,280.57x = 36,426.48 × 7,640.17
  4. Step 4: Simplify right side
    24,280.57x = 278,304,363.53
  5. Step 5: Solve for x
    x = 278,304,363.53/24,280.57
  6. Step 6: Final answer
    x = 11,462.02

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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.