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Finding the Fourth Proportional to 23,184.14, 34,760.82 and 8,391.12

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Solution

The fourth proportional to 23,184.14, 34,760.82 and 8,391.12 is: 12,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.14 : 34,760.82 = 8,391.12 : x
  2. Step 2: Convert to fraction form
    23,184.14/34,760.82 = 8,391.12/x
  3. Step 3: Cross multiply
    23,184.14x = 34,760.82 × 8,391.12
  4. Step 4: Simplify right side
    23,184.14x = 291,682,211.92
  5. Step 5: Solve for x
    x = 291,682,211.92/23,184.14
  6. Step 6: Final answer
    x = 12,581.11

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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.