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Finding the Fourth Proportional to 23,142.96, 34,711.20 and 8,349.84

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Solution

The fourth proportional to 23,142.96, 34,711.20 and 8,349.84 is: 12,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.96 : 34,711.20 = 8,349.84 : x
  2. Step 2: Convert to fraction form
    23,142.96/34,711.20 = 8,349.84/x
  3. Step 3: Cross multiply
    23,142.96x = 34,711.20 × 8,349.84
  4. Step 4: Simplify right side
    23,142.96x = 289,832,966.21
  5. Step 5: Solve for x
    x = 289,832,966.21/23,142.96
  6. Step 6: Final answer
    x = 12,523.59

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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.