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Finding the Fourth Proportional to 24,105.31, 36,149.47 and 7,233.28

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Solution

The fourth proportional to 24,105.31, 36,149.47 and 7,233.28 is: 10,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.31 : 36,149.47 = 7,233.28 : x
  2. Step 2: Convert to fraction form
    24,105.31/36,149.47 = 7,233.28/x
  3. Step 3: Cross multiply
    24,105.31x = 36,149.47 × 7,233.28
  4. Step 4: Simplify right side
    24,105.31x = 261,479,129.90
  5. Step 5: Solve for x
    x = 261,479,129.90/24,105.31
  6. Step 6: Final answer
    x = 10,847.37

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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.