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Finding the Fourth Proportional to 12,206.80, 18,311.82 and 5,634.46

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Solution

The fourth proportional to 12,206.80, 18,311.82 and 5,634.46 is: 8,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.80 : 18,311.82 = 5,634.46 : x
  2. Step 2: Convert to fraction form
    12,206.80/18,311.82 = 5,634.46/x
  3. Step 3: Cross multiply
    12,206.80x = 18,311.82 × 5,634.46
  4. Step 4: Simplify right side
    12,206.80x = 103,177,217.32
  5. Step 5: Solve for x
    x = 103,177,217.32/12,206.80
  6. Step 6: Final answer
    x = 8,452.44

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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.