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Finding the Fourth Proportional to 20,182.80, 27,847.74 and 12,224.88

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Solution

The fourth proportional to 20,182.80, 27,847.74 and 12,224.88 is: 16,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.80 : 27,847.74 = 12,224.88 : x
  2. Step 2: Convert to fraction form
    20,182.80/27,847.74 = 12,224.88/x
  3. Step 3: Cross multiply
    20,182.80x = 27,847.74 × 12,224.88
  4. Step 4: Simplify right side
    20,182.80x = 340,435,279.77
  5. Step 5: Solve for x
    x = 340,435,279.77/20,182.80
  6. Step 6: Final answer
    x = 16,867.59

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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.