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Finding the Fourth Proportional to 16,161.28, 22,278.48 and 9,869.44

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Solution

The fourth proportional to 16,161.28, 22,278.48 and 9,869.44 is: 13,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.28 : 22,278.48 = 9,869.44 : x
  2. Step 2: Convert to fraction form
    16,161.28/22,278.48 = 9,869.44/x
  3. Step 3: Cross multiply
    16,161.28x = 22,278.48 × 9,869.44
  4. Step 4: Simplify right side
    16,161.28x = 219,876,121.65
  5. Step 5: Solve for x
    x = 219,876,121.65/16,161.28
  6. Step 6: Final answer
    x = 13,605.12

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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.