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Finding the Fourth Proportional to 12,049.35, 18,073 and 4,151.85

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Solution

The fourth proportional to 12,049.35, 18,073 and 4,151.85 is: 6,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.35 : 18,073 = 4,151.85 : x
  2. Step 2: Convert to fraction form
    12,049.35/18,073 = 4,151.85/x
  3. Step 3: Cross multiply
    12,049.35x = 18,073 × 4,151.85
  4. Step 4: Simplify right side
    12,049.35x = 75,036,385.05
  5. Step 5: Solve for x
    x = 75,036,385.05/12,049.35
  6. Step 6: Final answer
    x = 6,227.42

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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.