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Finding the Fourth Proportional to 18,769.65, 28,162.31 and 8,234.23

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Solution

The fourth proportional to 18,769.65, 28,162.31 and 8,234.23 is: 12,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,769.65 : 28,162.31 = 8,234.23 : x
  2. Step 2: Convert to fraction form
    18,769.65/28,162.31 = 8,234.23/x
  3. Step 3: Cross multiply
    18,769.65x = 28,162.31 × 8,234.23
  4. Step 4: Simplify right side
    18,769.65x = 231,894,937.87
  5. Step 5: Solve for x
    x = 231,894,937.87/18,769.65
  6. Step 6: Final answer
    x = 12,354.78

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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.