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Finding the Fourth Proportional to 12,234.96, 18,339.32 and 8,016.62

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Solution

The fourth proportional to 12,234.96, 18,339.32 and 8,016.62 is: 12,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.96 : 18,339.32 = 8,016.62 : x
  2. Step 2: Convert to fraction form
    12,234.96/18,339.32 = 8,016.62/x
  3. Step 3: Cross multiply
    12,234.96x = 18,339.32 × 8,016.62
  4. Step 4: Simplify right side
    12,234.96x = 147,019,359.50
  5. Step 5: Solve for x
    x = 147,019,359.50/12,234.96
  6. Step 6: Final answer
    x = 12,016.33

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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.