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Finding the Fourth Proportional to 20,042.78, 27,661.44 and 11,659.28

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Solution

The fourth proportional to 20,042.78, 27,661.44 and 11,659.28 is: 16,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.78 : 27,661.44 = 11,659.28 : x
  2. Step 2: Convert to fraction form
    20,042.78/27,661.44 = 11,659.28/x
  3. Step 3: Cross multiply
    20,042.78x = 27,661.44 × 11,659.28
  4. Step 4: Simplify right side
    20,042.78x = 322,512,474.16
  5. Step 5: Solve for x
    x = 322,512,474.16/20,042.78
  6. Step 6: Final answer
    x = 16,091.20

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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.