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Finding the Fourth Proportional to 20,182.20, 30,273.30 and 6,142.20

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Solution

The fourth proportional to 20,182.20, 30,273.30 and 6,142.20 is: 9,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.20 : 30,273.30 = 6,142.20 : x
  2. Step 2: Convert to fraction form
    20,182.20/30,273.30 = 6,142.20/x
  3. Step 3: Cross multiply
    20,182.20x = 30,273.30 × 6,142.20
  4. Step 4: Simplify right side
    20,182.20x = 185,944,663.26
  5. Step 5: Solve for x
    x = 185,944,663.26/20,182.20
  6. Step 6: Final answer
    x = 9,213.30

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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.