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Finding the Fourth Proportional to 25,657.56, 38,491.20 and 8,132.40

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Solution

The fourth proportional to 25,657.56, 38,491.20 and 8,132.40 is: 12,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.56 : 38,491.20 = 8,132.40 : x
  2. Step 2: Convert to fraction form
    25,657.56/38,491.20 = 8,132.40/x
  3. Step 3: Cross multiply
    25,657.56x = 38,491.20 × 8,132.40
  4. Step 4: Simplify right side
    25,657.56x = 313,025,834.88
  5. Step 5: Solve for x
    x = 313,025,834.88/25,657.56
  6. Step 6: Final answer
    x = 12,200.14

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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.