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Finding the Fourth Proportional to 18,294.87, 27,433.65 and 8,431.23

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Solution

The fourth proportional to 18,294.87, 27,433.65 and 8,431.23 is: 12,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.87 : 27,433.65 = 8,431.23 : x
  2. Step 2: Convert to fraction form
    18,294.87/27,433.65 = 8,431.23/x
  3. Step 3: Cross multiply
    18,294.87x = 27,433.65 × 8,431.23
  4. Step 4: Simplify right side
    18,294.87x = 231,299,412.89
  5. Step 5: Solve for x
    x = 231,299,412.89/18,294.87
  6. Step 6: Final answer
    x = 12,642.86

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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.