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Finding the Fourth Proportional to 16,291, 22,481.61 and 9,217.27

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Solution

The fourth proportional to 16,291, 22,481.61 and 9,217.27 is: 12,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291 : 22,481.61 = 9,217.27 : x
  2. Step 2: Convert to fraction form
    16,291/22,481.61 = 9,217.27/x
  3. Step 3: Cross multiply
    16,291x = 22,481.61 × 9,217.27
  4. Step 4: Simplify right side
    16,291x = 207,219,023.32
  5. Step 5: Solve for x
    x = 207,219,023.32/16,291
  6. Step 6: Final answer
    x = 12,719.85

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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.