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Finding the Fourth Proportional to 18,400.32, 27,617.80 and 9,641.38

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Solution

The fourth proportional to 18,400.32, 27,617.80 and 9,641.38 is: 14,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.32 : 27,617.80 = 9,641.38 : x
  2. Step 2: Convert to fraction form
    18,400.32/27,617.80 = 9,641.38/x
  3. Step 3: Cross multiply
    18,400.32x = 27,617.80 × 9,641.38
  4. Step 4: Simplify right side
    18,400.32x = 266,273,704.56
  5. Step 5: Solve for x
    x = 266,273,704.56/18,400.32
  6. Step 6: Final answer
    x = 14,471.15

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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.