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Finding the Fourth Proportional to 20,286.72, 30,405.24 and 11,529

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Solution

The fourth proportional to 20,286.72, 30,405.24 and 11,529 is: 17,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.72 : 30,405.24 = 11,529 : x
  2. Step 2: Convert to fraction form
    20,286.72/30,405.24 = 11,529/x
  3. Step 3: Cross multiply
    20,286.72x = 30,405.24 × 11,529
  4. Step 4: Simplify right side
    20,286.72x = 350,542,011.96
  5. Step 5: Solve for x
    x = 350,542,011.96/20,286.72
  6. Step 6: Final answer
    x = 17,279.38

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