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Finding the Fourth Proportional to 18,614.56, 27,931.44 and 8,233.60

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Solution

The fourth proportional to 18,614.56, 27,931.44 and 8,233.60 is: 12,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.56 : 27,931.44 = 8,233.60 : x
  2. Step 2: Convert to fraction form
    18,614.56/27,931.44 = 8,233.60/x
  3. Step 3: Cross multiply
    18,614.56x = 27,931.44 × 8,233.60
  4. Step 4: Simplify right side
    18,614.56x = 229,976,304.38
  5. Step 5: Solve for x
    x = 229,976,304.38/18,614.56
  6. Step 6: Final answer
    x = 12,354.65

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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.