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Finding the Fourth Proportional to 20,183.42, 27,856.97 and 13,365.42

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Solution

The fourth proportional to 20,183.42, 27,856.97 and 13,365.42 is: 18,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183.42 : 27,856.97 = 13,365.42 : x
  2. Step 2: Convert to fraction form
    20,183.42/27,856.97 = 13,365.42/x
  3. Step 3: Cross multiply
    20,183.42x = 27,856.97 × 13,365.42
  4. Step 4: Simplify right side
    20,183.42x = 372,320,207.03
  5. Step 5: Solve for x
    x = 372,320,207.03/20,183.42
  6. Step 6: Final answer
    x = 18,446.83

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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.