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Finding the Fourth Proportional to 20,021.76, 30,024.96 and 6,871.68

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Solution

The fourth proportional to 20,021.76, 30,024.96 and 6,871.68 is: 10,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021.76 : 30,024.96 = 6,871.68 : x
  2. Step 2: Convert to fraction form
    20,021.76/30,024.96 = 6,871.68/x
  3. Step 3: Cross multiply
    20,021.76x = 30,024.96 × 6,871.68
  4. Step 4: Simplify right side
    20,021.76x = 206,321,917.13
  5. Step 5: Solve for x
    x = 206,321,917.13/20,021.76
  6. Step 6: Final answer
    x = 10,304.88

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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.