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Finding the Fourth Proportional to 23,178.60, 34,747.11 and 8,384.04

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Solution

The fourth proportional to 23,178.60, 34,747.11 and 8,384.04 is: 12,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.60 : 34,747.11 = 8,384.04 : x
  2. Step 2: Convert to fraction form
    23,178.60/34,747.11 = 8,384.04/x
  3. Step 3: Cross multiply
    23,178.60x = 34,747.11 × 8,384.04
  4. Step 4: Simplify right side
    23,178.60x = 291,321,160.12
  5. Step 5: Solve for x
    x = 291,321,160.12/23,178.60
  6. Step 6: Final answer
    x = 12,568.54

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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.