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Finding the Fourth Proportional to 17,757.24, 24,489.18 and 11,463

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Solution

The fourth proportional to 17,757.24, 24,489.18 and 11,463 is: 15,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.24 : 24,489.18 = 11,463 : x
  2. Step 2: Convert to fraction form
    17,757.24/24,489.18 = 11,463/x
  3. Step 3: Cross multiply
    17,757.24x = 24,489.18 × 11,463
  4. Step 4: Simplify right side
    17,757.24x = 280,719,470.34
  5. Step 5: Solve for x
    x = 280,719,470.34/17,757.24
  6. Step 6: Final answer
    x = 15,808.73

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Why These Related Problems?

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