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Finding the Fourth Proportional to 16,219.31, 22,382.16 and 9,049.42

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Solution

The fourth proportional to 16,219.31, 22,382.16 and 9,049.42 is: 12,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.31 : 22,382.16 = 9,049.42 : x
  2. Step 2: Convert to fraction form
    16,219.31/22,382.16 = 9,049.42/x
  3. Step 3: Cross multiply
    16,219.31x = 22,382.16 × 9,049.42
  4. Step 4: Simplify right side
    16,219.31x = 202,545,454.44
  5. Step 5: Solve for x
    x = 202,545,454.44/16,219.31
  6. Step 6: Final answer
    x = 12,487.92

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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.