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Finding the Fourth Proportional to 20,170.81, 27,832.17 and 11,671.48

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Solution

The fourth proportional to 20,170.81, 27,832.17 and 11,671.48 is: 16,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.81 : 27,832.17 = 11,671.48 : x
  2. Step 2: Convert to fraction form
    20,170.81/27,832.17 = 11,671.48/x
  3. Step 3: Cross multiply
    20,170.81x = 27,832.17 × 11,671.48
  4. Step 4: Simplify right side
    20,170.81x = 324,842,615.51
  5. Step 5: Solve for x
    x = 324,842,615.51/20,170.81
  6. Step 6: Final answer
    x = 16,104.59

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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.