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Finding the Fourth Proportional to 20,177.92, 27,848.12 and 12,220.48

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Solution

The fourth proportional to 20,177.92, 27,848.12 and 12,220.48 is: 16,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.92 : 27,848.12 = 12,220.48 : x
  2. Step 2: Convert to fraction form
    20,177.92/27,848.12 = 12,220.48/x
  3. Step 3: Cross multiply
    20,177.92x = 27,848.12 × 12,220.48
  4. Step 4: Simplify right side
    20,177.92x = 340,317,393.50
  5. Step 5: Solve for x
    x = 340,317,393.50/20,177.92
  6. Step 6: Final answer
    x = 16,865.83

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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.