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Finding the Fourth Proportional to 19,882.29, 29,823.43 and 9,344.57

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Solution

The fourth proportional to 19,882.29, 29,823.43 and 9,344.57 is: 14,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.29 : 29,823.43 = 9,344.57 : x
  2. Step 2: Convert to fraction form
    19,882.29/29,823.43 = 9,344.57/x
  3. Step 3: Cross multiply
    19,882.29x = 29,823.43 × 9,344.57
  4. Step 4: Simplify right side
    19,882.29x = 278,687,078.08
  5. Step 5: Solve for x
    x = 278,687,078.08/19,882.29
  6. Step 6: Final answer
    x = 14,016.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.