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Finding the Fourth Proportional to 20,863.20, 28,791.12 and 11,431.71

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Solution

The fourth proportional to 20,863.20, 28,791.12 and 11,431.71 is: 15,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.20 : 28,791.12 = 11,431.71 : x
  2. Step 2: Convert to fraction form
    20,863.20/28,791.12 = 11,431.71/x
  3. Step 3: Cross multiply
    20,863.20x = 28,791.12 × 11,431.71
  4. Step 4: Simplify right side
    20,863.20x = 329,131,734.42
  5. Step 5: Solve for x
    x = 329,131,734.42/20,863.20
  6. Step 6: Final answer
    x = 15,775.71

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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.