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Finding the Fourth Proportional to 24,586.18, 36,882.92 and 9,002.60

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Solution

The fourth proportional to 24,586.18, 36,882.92 and 9,002.60 is: 13,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586.18 : 36,882.92 = 9,002.60 : x
  2. Step 2: Convert to fraction form
    24,586.18/36,882.92 = 9,002.60/x
  3. Step 3: Cross multiply
    24,586.18x = 36,882.92 × 9,002.60
  4. Step 4: Simplify right side
    24,586.18x = 332,042,175.59
  5. Step 5: Solve for x
    x = 332,042,175.59/24,586.18
  6. Step 6: Final answer
    x = 13,505.24

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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.