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Finding the Fourth Proportional to 20,158.10, 27,821.81 and 11,659.04

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Solution

The fourth proportional to 20,158.10, 27,821.81 and 11,659.04 is: 16,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.10 : 27,821.81 = 11,659.04 : x
  2. Step 2: Convert to fraction form
    20,158.10/27,821.81 = 11,659.04/x
  3. Step 3: Cross multiply
    20,158.10x = 27,821.81 × 11,659.04
  4. Step 4: Simplify right side
    20,158.10x = 324,375,590.03
  5. Step 5: Solve for x
    x = 324,375,590.03/20,158.10
  6. Step 6: Final answer
    x = 16,091.58

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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.