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Finding the Fourth Proportional to 20,882.75, 31,323.29 and 6,843.83

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Solution

The fourth proportional to 20,882.75, 31,323.29 and 6,843.83 is: 10,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.75 : 31,323.29 = 6,843.83 : x
  2. Step 2: Convert to fraction form
    20,882.75/31,323.29 = 6,843.83/x
  3. Step 3: Cross multiply
    20,882.75x = 31,323.29 × 6,843.83
  4. Step 4: Simplify right side
    20,882.75x = 214,371,080.97
  5. Step 5: Solve for x
    x = 214,371,080.97/20,882.75
  6. Step 6: Final answer
    x = 10,265.46

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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.