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Finding the Fourth Proportional to 18,414.27, 27,614.07 and 7,889.31

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Solution

The fourth proportional to 18,414.27, 27,614.07 and 7,889.31 is: 11,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.27 : 27,614.07 = 7,889.31 : x
  2. Step 2: Convert to fraction form
    18,414.27/27,614.07 = 7,889.31/x
  3. Step 3: Cross multiply
    18,414.27x = 27,614.07 × 7,889.31
  4. Step 4: Simplify right side
    18,414.27x = 217,855,958.59
  5. Step 5: Solve for x
    x = 217,855,958.59/18,414.27
  6. Step 6: Final answer
    x = 11,830.82

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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.