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Finding the Fourth Proportional to 12,471.28, 18,689.10 and 9,158.38

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Solution

The fourth proportional to 12,471.28, 18,689.10 and 9,158.38 is: 13,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.28 : 18,689.10 = 9,158.38 : x
  2. Step 2: Convert to fraction form
    12,471.28/18,689.10 = 9,158.38/x
  3. Step 3: Cross multiply
    12,471.28x = 18,689.10 × 9,158.38
  4. Step 4: Simplify right side
    12,471.28x = 171,161,879.66
  5. Step 5: Solve for x
    x = 171,161,879.66/12,471.28
  6. Step 6: Final answer
    x = 13,724.48

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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.