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Finding the Fourth Proportional to 23,178.36, 34,767.18 and 9,327

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Solution

The fourth proportional to 23,178.36, 34,767.18 and 9,327 is: 13,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.36 : 34,767.18 = 9,327 : x
  2. Step 2: Convert to fraction form
    23,178.36/34,767.18 = 9,327/x
  3. Step 3: Cross multiply
    23,178.36x = 34,767.18 × 9,327
  4. Step 4: Simplify right side
    23,178.36x = 324,273,487.86
  5. Step 5: Solve for x
    x = 324,273,487.86/23,178.36
  6. Step 6: Final answer
    x = 13,990.36

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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.