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Finding the Fourth Proportional to 22,162.85, 33,234.54 and 8,302.13

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Solution

The fourth proportional to 22,162.85, 33,234.54 and 8,302.13 is: 12,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.85 : 33,234.54 = 8,302.13 : x
  2. Step 2: Convert to fraction form
    22,162.85/33,234.54 = 8,302.13/x
  3. Step 3: Cross multiply
    22,162.85x = 33,234.54 × 8,302.13
  4. Step 4: Simplify right side
    22,162.85x = 275,917,471.57
  5. Step 5: Solve for x
    x = 275,917,471.57/22,162.85
  6. Step 6: Final answer
    x = 12,449.55

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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.