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Finding the Fourth Proportional to 20,504.66, 30,757.31 and 5,713.43

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Solution

The fourth proportional to 20,504.66, 30,757.31 and 5,713.43 is: 8,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.66 : 30,757.31 = 5,713.43 : x
  2. Step 2: Convert to fraction form
    20,504.66/30,757.31 = 5,713.43/x
  3. Step 3: Cross multiply
    20,504.66x = 30,757.31 × 5,713.43
  4. Step 4: Simplify right side
    20,504.66x = 175,729,555.32
  5. Step 5: Solve for x
    x = 175,729,555.32/20,504.66
  6. Step 6: Final answer
    x = 8,570.23

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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.