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Finding the Fourth Proportional to 23,132.80, 34,694.01 and 10,640.83

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Solution

The fourth proportional to 23,132.80, 34,694.01 and 10,640.83 is: 15,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.80 : 34,694.01 = 10,640.83 : x
  2. Step 2: Convert to fraction form
    23,132.80/34,694.01 = 10,640.83/x
  3. Step 3: Cross multiply
    23,132.80x = 34,694.01 × 10,640.83
  4. Step 4: Simplify right side
    23,132.80x = 369,172,835.75
  5. Step 5: Solve for x
    x = 369,172,835.75/23,132.80
  6. Step 6: Final answer
    x = 15,958.85

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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.