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Finding the Fourth Proportional to 20,147.49, 30,221.20 and 5,356.41

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Solution

The fourth proportional to 20,147.49, 30,221.20 and 5,356.41 is: 8,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.49 : 30,221.20 = 5,356.41 : x
  2. Step 2: Convert to fraction form
    20,147.49/30,221.20 = 5,356.41/x
  3. Step 3: Cross multiply
    20,147.49x = 30,221.20 × 5,356.41
  4. Step 4: Simplify right side
    20,147.49x = 161,876,960.00
  5. Step 5: Solve for x
    x = 161,876,960.00/20,147.49
  6. Step 6: Final answer
    x = 8,034.60

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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.