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Finding the Fourth Proportional to 20,449.87, 30,675.49 and 5,657.55

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Solution

The fourth proportional to 20,449.87, 30,675.49 and 5,657.55 is: 8,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.87 : 30,675.49 = 5,657.55 : x
  2. Step 2: Convert to fraction form
    20,449.87/30,675.49 = 5,657.55/x
  3. Step 3: Cross multiply
    20,449.87x = 30,675.49 × 5,657.55
  4. Step 4: Simplify right side
    20,449.87x = 173,548,104.31
  5. Step 5: Solve for x
    x = 173,548,104.31/20,449.87
  6. Step 6: Final answer
    x = 8,486.51

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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.