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Finding the Fourth Proportional to 12,211.60, 18,320.84 and 3,446.59

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Solution

The fourth proportional to 12,211.60, 18,320.84 and 3,446.59 is: 5,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.60 : 18,320.84 = 3,446.59 : x
  2. Step 2: Convert to fraction form
    12,211.60/18,320.84 = 3,446.59/x
  3. Step 3: Cross multiply
    12,211.60x = 18,320.84 × 3,446.59
  4. Step 4: Simplify right side
    12,211.60x = 63,144,423.94
  5. Step 5: Solve for x
    x = 63,144,423.94/12,211.60
  6. Step 6: Final answer
    x = 5,170.86

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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.