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Finding the Fourth Proportional to 12,638.80, 18,930.84 and 8,242.92

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Solution

The fourth proportional to 12,638.80, 18,930.84 and 8,242.92 is: 12,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.80 : 18,930.84 = 8,242.92 : x
  2. Step 2: Convert to fraction form
    12,638.80/18,930.84 = 8,242.92/x
  3. Step 3: Cross multiply
    12,638.80x = 18,930.84 × 8,242.92
  4. Step 4: Simplify right side
    12,638.80x = 156,045,399.65
  5. Step 5: Solve for x
    x = 156,045,399.65/12,638.80
  6. Step 6: Final answer
    x = 12,346.54

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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.