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Finding the Fourth Proportional to 16,214.18, 22,375.70 and 9,044.55

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Solution

The fourth proportional to 16,214.18, 22,375.70 and 9,044.55 is: 12,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.18 : 22,375.70 = 9,044.55 : x
  2. Step 2: Convert to fraction form
    16,214.18/22,375.70 = 9,044.55/x
  3. Step 3: Cross multiply
    16,214.18x = 22,375.70 × 9,044.55
  4. Step 4: Simplify right side
    16,214.18x = 202,378,092.21
  5. Step 5: Solve for x
    x = 202,378,092.21/16,214.18
  6. Step 6: Final answer
    x = 12,481.55

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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.