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Finding the Fourth Proportional to 20,077.96, 30,121.82 and 6,227.08

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Solution

The fourth proportional to 20,077.96, 30,121.82 and 6,227.08 is: 9,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.96 : 30,121.82 = 6,227.08 : x
  2. Step 2: Convert to fraction form
    20,077.96/30,121.82 = 6,227.08/x
  3. Step 3: Cross multiply
    20,077.96x = 30,121.82 × 6,227.08
  4. Step 4: Simplify right side
    20,077.96x = 187,570,982.89
  5. Step 5: Solve for x
    x = 187,570,982.89/20,077.96
  6. Step 6: Final answer
    x = 9,342.13

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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.