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Finding the Fourth Proportional to 20,414.56, 28,173.72 and 11,462.66

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Solution

The fourth proportional to 20,414.56, 28,173.72 and 11,462.66 is: 15,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.56 : 28,173.72 = 11,462.66 : x
  2. Step 2: Convert to fraction form
    20,414.56/28,173.72 = 11,462.66/x
  3. Step 3: Cross multiply
    20,414.56x = 28,173.72 × 11,462.66
  4. Step 4: Simplify right side
    20,414.56x = 322,945,773.30
  5. Step 5: Solve for x
    x = 322,945,773.30/20,414.56
  6. Step 6: Final answer
    x = 15,819.38

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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.