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Finding the Fourth Proportional to 23,142.20, 34,704.92 and 8,347.14

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Solution

The fourth proportional to 23,142.20, 34,704.92 and 8,347.14 is: 12,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.20 : 34,704.92 = 8,347.14 : x
  2. Step 2: Convert to fraction form
    23,142.20/34,704.92 = 8,347.14/x
  3. Step 3: Cross multiply
    23,142.20x = 34,704.92 × 8,347.14
  4. Step 4: Simplify right side
    23,142.20x = 289,686,784.19
  5. Step 5: Solve for x
    x = 289,686,784.19/23,142.20
  6. Step 6: Final answer
    x = 12,517.69

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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.