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Finding the Fourth Proportional to 12,220.96, 18,342.24 and 8,049.28

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Solution

The fourth proportional to 12,220.96, 18,342.24 and 8,049.28 is: 12,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.96 : 18,342.24 = 8,049.28 : x
  2. Step 2: Convert to fraction form
    12,220.96/18,342.24 = 8,049.28/x
  3. Step 3: Cross multiply
    12,220.96x = 18,342.24 × 8,049.28
  4. Step 4: Simplify right side
    12,220.96x = 147,641,825.59
  5. Step 5: Solve for x
    x = 147,641,825.59/12,220.96
  6. Step 6: Final answer
    x = 12,081.03

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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.