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Finding the Fourth Proportional to 20,189.34, 27,856.62 and 12,229.83

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Solution

The fourth proportional to 20,189.34, 27,856.62 and 12,229.83 is: 16,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.34 : 27,856.62 = 12,229.83 : x
  2. Step 2: Convert to fraction form
    20,189.34/27,856.62 = 12,229.83/x
  3. Step 3: Cross multiply
    20,189.34x = 27,856.62 × 12,229.83
  4. Step 4: Simplify right side
    20,189.34x = 340,681,726.97
  5. Step 5: Solve for x
    x = 340,681,726.97/20,189.34
  6. Step 6: Final answer
    x = 16,874.34

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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.