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Finding the Fourth Proportional to 12,147, 18,220.50 and 3,939

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Solution

The fourth proportional to 12,147, 18,220.50 and 3,939 is: 5,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147 : 18,220.50 = 3,939 : x
  2. Step 2: Convert to fraction form
    12,147/18,220.50 = 3,939/x
  3. Step 3: Cross multiply
    12,147x = 18,220.50 × 3,939
  4. Step 4: Simplify right side
    12,147x = 71,770,549.50
  5. Step 5: Solve for x
    x = 71,770,549.50/12,147
  6. Step 6: Final answer
    x = 5,908.50

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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.