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Finding the Fourth Proportional to 12,616.34, 18,923.82 and 3,850.56

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Solution

The fourth proportional to 12,616.34, 18,923.82 and 3,850.56 is: 5,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.34 : 18,923.82 = 3,850.56 : x
  2. Step 2: Convert to fraction form
    12,616.34/18,923.82 = 3,850.56/x
  3. Step 3: Cross multiply
    12,616.34x = 18,923.82 × 3,850.56
  4. Step 4: Simplify right side
    12,616.34x = 72,867,351.65
  5. Step 5: Solve for x
    x = 72,867,351.65/12,616.34
  6. Step 6: Final answer
    x = 5,775.63

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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.