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Finding the Fourth Proportional to 20,069.40, 30,114.34 and 8,231.80

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Solution

The fourth proportional to 20,069.40, 30,114.34 and 8,231.80 is: 12,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.40 : 30,114.34 = 8,231.80 : x
  2. Step 2: Convert to fraction form
    20,069.40/30,114.34 = 8,231.80/x
  3. Step 3: Cross multiply
    20,069.40x = 30,114.34 × 8,231.80
  4. Step 4: Simplify right side
    20,069.40x = 247,895,224.01
  5. Step 5: Solve for x
    x = 247,895,224.01/20,069.40
  6. Step 6: Final answer
    x = 12,351.90

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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.