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Finding the Fourth Proportional to 16,286.74, 22,481.49 and 9,910.42

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Solution

The fourth proportional to 16,286.74, 22,481.49 and 9,910.42 is: 13,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.74 : 22,481.49 = 9,910.42 : x
  2. Step 2: Convert to fraction form
    16,286.74/22,481.49 = 9,910.42/x
  3. Step 3: Cross multiply
    16,286.74x = 22,481.49 × 9,910.42
  4. Step 4: Simplify right side
    16,286.74x = 222,801,008.13
  5. Step 5: Solve for x
    x = 222,801,008.13/16,286.74
  6. Step 6: Final answer
    x = 13,679.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.