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Finding the Fourth Proportional to 12,616.50, 18,924.39 and 3,850.14

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Solution

The fourth proportional to 12,616.50, 18,924.39 and 3,850.14 is: 5,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.50 : 18,924.39 = 3,850.14 : x
  2. Step 2: Convert to fraction form
    12,616.50/18,924.39 = 3,850.14/x
  3. Step 3: Cross multiply
    12,616.50x = 18,924.39 × 3,850.14
  4. Step 4: Simplify right side
    12,616.50x = 72,861,550.91
  5. Step 5: Solve for x
    x = 72,861,550.91/12,616.50
  6. Step 6: Final answer
    x = 5,775.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.