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Finding the Fourth Proportional to 22,531.57, 33,760.26 and 7,732.40

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Solution

The fourth proportional to 22,531.57, 33,760.26 and 7,732.40 is: 11,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.57 : 33,760.26 = 7,732.40 : x
  2. Step 2: Convert to fraction form
    22,531.57/33,760.26 = 7,732.40/x
  3. Step 3: Cross multiply
    22,531.57x = 33,760.26 × 7,732.40
  4. Step 4: Simplify right side
    22,531.57x = 261,047,665.62
  5. Step 5: Solve for x
    x = 261,047,665.62/22,531.57
  6. Step 6: Final answer
    x = 11,585.86

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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.