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Finding the Fourth Proportional to 22,677.60, 34,016.46 and 6,882.75

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Solution

The fourth proportional to 22,677.60, 34,016.46 and 6,882.75 is: 10,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.60 : 34,016.46 = 6,882.75 : x
  2. Step 2: Convert to fraction form
    22,677.60/34,016.46 = 6,882.75/x
  3. Step 3: Cross multiply
    22,677.60x = 34,016.46 × 6,882.75
  4. Step 4: Simplify right side
    22,677.60x = 234,126,790.07
  5. Step 5: Solve for x
    x = 234,126,790.07/22,677.60
  6. Step 6: Final answer
    x = 10,324.14

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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.