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Finding the Fourth Proportional to 20,613.80, 30,917.82 and 6,761

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Solution

The fourth proportional to 20,613.80, 30,917.82 and 6,761 is: 10,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613.80 : 30,917.82 = 6,761 : x
  2. Step 2: Convert to fraction form
    20,613.80/30,917.82 = 6,761/x
  3. Step 3: Cross multiply
    20,613.80x = 30,917.82 × 6,761
  4. Step 4: Simplify right side
    20,613.80x = 209,035,381.02
  5. Step 5: Solve for x
    x = 209,035,381.02/20,613.80
  6. Step 6: Final answer
    x = 10,140.56

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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.