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Finding the Fourth Proportional to 12,049.82, 18,074.72 and 3,286.02

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Solution

The fourth proportional to 12,049.82, 18,074.72 and 3,286.02 is: 4,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.82 : 18,074.72 = 3,286.02 : x
  2. Step 2: Convert to fraction form
    12,049.82/18,074.72 = 3,286.02/x
  3. Step 3: Cross multiply
    12,049.82x = 18,074.72 × 3,286.02
  4. Step 4: Simplify right side
    12,049.82x = 59,393,891.41
  5. Step 5: Solve for x
    x = 59,393,891.41/12,049.82
  6. Step 6: Final answer
    x = 4,929.03

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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.