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Finding the Fourth Proportional to 15,132.86, 20,882.84 and 8,418.30

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Solution

The fourth proportional to 15,132.86, 20,882.84 and 8,418.30 is: 11,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.86 : 20,882.84 = 8,418.30 : x
  2. Step 2: Convert to fraction form
    15,132.86/20,882.84 = 8,418.30/x
  3. Step 3: Cross multiply
    15,132.86x = 20,882.84 × 8,418.30
  4. Step 4: Simplify right side
    15,132.86x = 175,798,011.97
  5. Step 5: Solve for x
    x = 175,798,011.97/15,132.86
  6. Step 6: Final answer
    x = 11,616.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.