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Finding the Fourth Proportional to 20,171.16, 27,832.11 and 11,786.04

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Solution

The fourth proportional to 20,171.16, 27,832.11 and 11,786.04 is: 16,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.16 : 27,832.11 = 11,786.04 : x
  2. Step 2: Convert to fraction form
    20,171.16/27,832.11 = 11,786.04/x
  3. Step 3: Cross multiply
    20,171.16x = 27,832.11 × 11,786.04
  4. Step 4: Simplify right side
    20,171.16x = 328,030,361.74
  5. Step 5: Solve for x
    x = 328,030,361.74/20,171.16
  6. Step 6: Final answer
    x = 16,262.34

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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.