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Finding the Fourth Proportional to 20,644.71, 28,489.85 and 11,213.27

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Solution

The fourth proportional to 20,644.71, 28,489.85 and 11,213.27 is: 15,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.71 : 28,489.85 = 11,213.27 : x
  2. Step 2: Convert to fraction form
    20,644.71/28,489.85 = 11,213.27/x
  3. Step 3: Cross multiply
    20,644.71x = 28,489.85 × 11,213.27
  4. Step 4: Simplify right side
    20,644.71x = 319,464,380.31
  5. Step 5: Solve for x
    x = 319,464,380.31/20,644.71
  6. Step 6: Final answer
    x = 15,474.39

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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.