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Finding the Fourth Proportional to 20,251.86, 27,947.49 and 11,299.38

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Solution

The fourth proportional to 20,251.86, 27,947.49 and 11,299.38 is: 15,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.86 : 27,947.49 = 11,299.38 : x
  2. Step 2: Convert to fraction form
    20,251.86/27,947.49 = 11,299.38/x
  3. Step 3: Cross multiply
    20,251.86x = 27,947.49 × 11,299.38
  4. Step 4: Simplify right side
    20,251.86x = 315,789,309.56
  5. Step 5: Solve for x
    x = 315,789,309.56/20,251.86
  6. Step 6: Final answer
    x = 15,593.10

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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.