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Finding the Fourth Proportional to 20,040.69, 30,049.92 and 8,202.78

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Solution

The fourth proportional to 20,040.69, 30,049.92 and 8,202.78 is: 12,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040.69 : 30,049.92 = 8,202.78 : x
  2. Step 2: Convert to fraction form
    20,040.69/30,049.92 = 8,202.78/x
  3. Step 3: Cross multiply
    20,040.69x = 30,049.92 × 8,202.78
  4. Step 4: Simplify right side
    20,040.69x = 246,492,882.78
  5. Step 5: Solve for x
    x = 246,492,882.78/20,040.69
  6. Step 6: Final answer
    x = 12,299.62

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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.