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Finding the Fourth Proportional to 20,861.38, 28,789.41 and 11,429.97

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Solution

The fourth proportional to 20,861.38, 28,789.41 and 11,429.97 is: 15,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.38 : 28,789.41 = 11,429.97 : x
  2. Step 2: Convert to fraction form
    20,861.38/28,789.41 = 11,429.97/x
  3. Step 3: Cross multiply
    20,861.38x = 28,789.41 × 11,429.97
  4. Step 4: Simplify right side
    20,861.38x = 329,062,092.62
  5. Step 5: Solve for x
    x = 329,062,092.62/20,861.38
  6. Step 6: Final answer
    x = 15,773.75

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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.