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Finding the Fourth Proportional to 12,113.70, 18,171.52 and 3,229.06

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Solution

The fourth proportional to 12,113.70, 18,171.52 and 3,229.06 is: 4,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.70 : 18,171.52 = 3,229.06 : x
  2. Step 2: Convert to fraction form
    12,113.70/18,171.52 = 3,229.06/x
  3. Step 3: Cross multiply
    12,113.70x = 18,171.52 × 3,229.06
  4. Step 4: Simplify right side
    12,113.70x = 58,676,928.37
  5. Step 5: Solve for x
    x = 58,676,928.37/12,113.70
  6. Step 6: Final answer
    x = 4,843.85

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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.