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Finding the Fourth Proportional to 20,182.68, 27,845.46 and 12,221.88

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Solution

The fourth proportional to 20,182.68, 27,845.46 and 12,221.88 is: 16,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.68 : 27,845.46 = 12,221.88 : x
  2. Step 2: Convert to fraction form
    20,182.68/27,845.46 = 12,221.88/x
  3. Step 3: Cross multiply
    20,182.68x = 27,845.46 × 12,221.88
  4. Step 4: Simplify right side
    20,182.68x = 340,323,870.66
  5. Step 5: Solve for x
    x = 340,323,870.66/20,182.68
  6. Step 6: Final answer
    x = 16,862.17

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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.