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Finding the Fourth Proportional to 20,229.31, 30,339.09 and 6,189.46

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Solution

The fourth proportional to 20,229.31, 30,339.09 and 6,189.46 is: 9,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.31 : 30,339.09 = 6,189.46 : x
  2. Step 2: Convert to fraction form
    20,229.31/30,339.09 = 6,189.46/x
  3. Step 3: Cross multiply
    20,229.31x = 30,339.09 × 6,189.46
  4. Step 4: Simplify right side
    20,229.31x = 187,782,583.99
  5. Step 5: Solve for x
    x = 187,782,583.99/20,229.31
  6. Step 6: Final answer
    x = 9,282.70

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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.