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Finding the Fourth Proportional to 25,132.34, 37,698.57 and 8,487.92

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Solution

The fourth proportional to 25,132.34, 37,698.57 and 8,487.92 is: 12,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.34 : 37,698.57 = 8,487.92 : x
  2. Step 2: Convert to fraction form
    25,132.34/37,698.57 = 8,487.92/x
  3. Step 3: Cross multiply
    25,132.34x = 37,698.57 × 8,487.92
  4. Step 4: Simplify right side
    25,132.34x = 319,982,257.78
  5. Step 5: Solve for x
    x = 319,982,257.78/25,132.34
  6. Step 6: Final answer
    x = 12,731.90

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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.