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Finding the Fourth Proportional to 23,311.30, 34,966.92 and 5,781.13

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Solution

The fourth proportional to 23,311.30, 34,966.92 and 5,781.13 is: 8,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.30 : 34,966.92 = 5,781.13 : x
  2. Step 2: Convert to fraction form
    23,311.30/34,966.92 = 5,781.13/x
  3. Step 3: Cross multiply
    23,311.30x = 34,966.92 × 5,781.13
  4. Step 4: Simplify right side
    23,311.30x = 202,148,310.22
  5. Step 5: Solve for x
    x = 202,148,310.22/23,311.30
  6. Step 6: Final answer
    x = 8,671.69

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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.