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Finding the Fourth Proportional to 20,380.95, 30,571.63 and 5,589.88

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Solution

The fourth proportional to 20,380.95, 30,571.63 and 5,589.88 is: 8,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.95 : 30,571.63 = 5,589.88 : x
  2. Step 2: Convert to fraction form
    20,380.95/30,571.63 = 5,589.88/x
  3. Step 3: Cross multiply
    20,380.95x = 30,571.63 × 5,589.88
  4. Step 4: Simplify right side
    20,380.95x = 170,891,652.70
  5. Step 5: Solve for x
    x = 170,891,652.70/20,380.95
  6. Step 6: Final answer
    x = 8,384.87

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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.