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Finding the Fourth Proportional to 18,431.31, 27,651.84 and 9,663.87

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Solution

The fourth proportional to 18,431.31, 27,651.84 and 9,663.87 is: 14,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431.31 : 27,651.84 = 9,663.87 : x
  2. Step 2: Convert to fraction form
    18,431.31/27,651.84 = 9,663.87/x
  3. Step 3: Cross multiply
    18,431.31x = 27,651.84 × 9,663.87
  4. Step 4: Simplify right side
    18,431.31x = 267,223,787.02
  5. Step 5: Solve for x
    x = 267,223,787.02/18,431.31
  6. Step 6: Final answer
    x = 14,498.36

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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.