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Finding the Fourth Proportional to 12,758.38, 19,138.67 and 3,524.38

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Solution

The fourth proportional to 12,758.38, 19,138.67 and 3,524.38 is: 5,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.38 : 19,138.67 = 3,524.38 : x
  2. Step 2: Convert to fraction form
    12,758.38/19,138.67 = 3,524.38/x
  3. Step 3: Cross multiply
    12,758.38x = 19,138.67 × 3,524.38
  4. Step 4: Simplify right side
    12,758.38x = 67,451,945.77
  5. Step 5: Solve for x
    x = 67,451,945.77/12,758.38
  6. Step 6: Final answer
    x = 5,286.87

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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.