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Finding the Fourth Proportional to 12,211.85, 18,321.21 and 3,446.84

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Solution

The fourth proportional to 12,211.85, 18,321.21 and 3,446.84 is: 5,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.85 : 18,321.21 = 3,446.84 : x
  2. Step 2: Convert to fraction form
    12,211.85/18,321.21 = 3,446.84/x
  3. Step 3: Cross multiply
    12,211.85x = 18,321.21 × 3,446.84
  4. Step 4: Simplify right side
    12,211.85x = 63,150,279.48
  5. Step 5: Solve for x
    x = 63,150,279.48/12,211.85
  6. Step 6: Final answer
    x = 5,171.23

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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.