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Finding the Fourth Proportional to 12,191.28, 18,286.92 and 5,616.24

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Solution

The fourth proportional to 12,191.28, 18,286.92 and 5,616.24 is: 8,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.28 : 18,286.92 = 5,616.24 : x
  2. Step 2: Convert to fraction form
    12,191.28/18,286.92 = 5,616.24/x
  3. Step 3: Cross multiply
    12,191.28x = 18,286.92 × 5,616.24
  4. Step 4: Simplify right side
    12,191.28x = 102,703,731.58
  5. Step 5: Solve for x
    x = 102,703,731.58/12,191.28
  6. Step 6: Final answer
    x = 8,424.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.