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Finding the Fourth Proportional to 20,032.60, 30,049.61 and 6,884.88

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Solution

The fourth proportional to 20,032.60, 30,049.61 and 6,884.88 is: 10,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.60 : 30,049.61 = 6,884.88 : x
  2. Step 2: Convert to fraction form
    20,032.60/30,049.61 = 6,884.88/x
  3. Step 3: Cross multiply
    20,032.60x = 30,049.61 × 6,884.88
  4. Step 4: Simplify right side
    20,032.60x = 206,888,034.02
  5. Step 5: Solve for x
    x = 206,888,034.02/20,032.60
  6. Step 6: Final answer
    x = 10,327.57

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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.