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Finding the Fourth Proportional to 12,517.20, 18,785.25 and 8,559

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Solution

The fourth proportional to 12,517.20, 18,785.25 and 8,559 is: 12,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.20 : 18,785.25 = 8,559 : x
  2. Step 2: Convert to fraction form
    12,517.20/18,785.25 = 8,559/x
  3. Step 3: Cross multiply
    12,517.20x = 18,785.25 × 8,559
  4. Step 4: Simplify right side
    12,517.20x = 160,782,954.75
  5. Step 5: Solve for x
    x = 160,782,954.75/12,517.20
  6. Step 6: Final answer
    x = 12,844.96

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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.