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Finding the Fourth Proportional to 12,371.50, 18,561.34 and 8,227.80

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Solution

The fourth proportional to 12,371.50, 18,561.34 and 8,227.80 is: 12,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.50 : 18,561.34 = 8,227.80 : x
  2. Step 2: Convert to fraction form
    12,371.50/18,561.34 = 8,227.80/x
  3. Step 3: Cross multiply
    12,371.50x = 18,561.34 × 8,227.80
  4. Step 4: Simplify right side
    12,371.50x = 152,718,993.25
  5. Step 5: Solve for x
    x = 152,718,993.25/12,371.50
  6. Step 6: Final answer
    x = 12,344.42

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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.