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Finding the Fourth Proportional to 12,228.57, 16,882.43 and 8,048.97

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Solution

The fourth proportional to 12,228.57, 16,882.43 and 8,048.97 is: 11,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.57 : 16,882.43 = 8,048.97 : x
  2. Step 2: Convert to fraction form
    12,228.57/16,882.43 = 8,048.97/x
  3. Step 3: Cross multiply
    12,228.57x = 16,882.43 × 8,048.97
  4. Step 4: Simplify right side
    12,228.57x = 135,886,132.35
  5. Step 5: Solve for x
    x = 135,886,132.35/12,228.57
  6. Step 6: Final answer
    x = 11,112.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.