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Finding the Fourth Proportional to 20,387.76, 30,585.96 and 6,546.48

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Solution

The fourth proportional to 20,387.76, 30,585.96 and 6,546.48 is: 9,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387.76 : 30,585.96 = 6,546.48 : x
  2. Step 2: Convert to fraction form
    20,387.76/30,585.96 = 6,546.48/x
  3. Step 3: Cross multiply
    20,387.76x = 30,585.96 × 6,546.48
  4. Step 4: Simplify right side
    20,387.76x = 200,230,375.42
  5. Step 5: Solve for x
    x = 200,230,375.42/20,387.76
  6. Step 6: Final answer
    x = 9,821.11

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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.