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Finding the Fourth Proportional to 24,280.38, 36,391.38 and 10,234.98

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Solution

The fourth proportional to 24,280.38, 36,391.38 and 10,234.98 is: 15,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.38 : 36,391.38 = 10,234.98 : x
  2. Step 2: Convert to fraction form
    24,280.38/36,391.38 = 10,234.98/x
  3. Step 3: Cross multiply
    24,280.38x = 36,391.38 × 10,234.98
  4. Step 4: Simplify right side
    24,280.38x = 372,465,046.47
  5. Step 5: Solve for x
    x = 372,465,046.47/24,280.38
  6. Step 6: Final answer
    x = 15,340.17

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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.