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Finding the Fourth Proportional to 24,180.73, 36,262.42 and 8,381.48

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Solution

The fourth proportional to 24,180.73, 36,262.42 and 8,381.48 is: 12,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.73 : 36,262.42 = 8,381.48 : x
  2. Step 2: Convert to fraction form
    24,180.73/36,262.42 = 8,381.48/x
  3. Step 3: Cross multiply
    24,180.73x = 36,262.42 × 8,381.48
  4. Step 4: Simplify right side
    24,180.73x = 303,932,545.72
  5. Step 5: Solve for x
    x = 303,932,545.72/24,180.73
  6. Step 6: Final answer
    x = 12,569.21

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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.