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Finding the Fourth Proportional to 20,505.80, 30,757.77 and 5,714.39

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Solution

The fourth proportional to 20,505.80, 30,757.77 and 5,714.39 is: 8,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.80 : 30,757.77 = 5,714.39 : x
  2. Step 2: Convert to fraction form
    20,505.80/30,757.77 = 5,714.39/x
  3. Step 3: Cross multiply
    20,505.80x = 30,757.77 × 5,714.39
  4. Step 4: Simplify right side
    20,505.80x = 175,761,739.52
  5. Step 5: Solve for x
    x = 175,761,739.52/20,505.80
  6. Step 6: Final answer
    x = 8,571.32

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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.