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Finding the Fourth Proportional to 20,044.80, 27,661.40 and 11,091.76

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Solution

The fourth proportional to 20,044.80, 27,661.40 and 11,091.76 is: 15,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044.80 : 27,661.40 = 11,091.76 : x
  2. Step 2: Convert to fraction form
    20,044.80/27,661.40 = 11,091.76/x
  3. Step 3: Cross multiply
    20,044.80x = 27,661.40 × 11,091.76
  4. Step 4: Simplify right side
    20,044.80x = 306,813,610.06
  5. Step 5: Solve for x
    x = 306,813,610.06/20,044.80
  6. Step 6: Final answer
    x = 15,306.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.