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Finding the Fourth Proportional to 20,517.90, 30,765.30 and 6,475.31

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Solution

The fourth proportional to 20,517.90, 30,765.30 and 6,475.31 is: 9,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.90 : 30,765.30 = 6,475.31 : x
  2. Step 2: Convert to fraction form
    20,517.90/30,765.30 = 6,475.31/x
  3. Step 3: Cross multiply
    20,517.90x = 30,765.30 × 6,475.31
  4. Step 4: Simplify right side
    20,517.90x = 199,214,668.54
  5. Step 5: Solve for x
    x = 199,214,668.54/20,517.90
  6. Step 6: Final answer
    x = 9,709.31

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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.