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Finding the Fourth Proportional to 20,043.84, 27,660 and 11,091.68

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Solution

The fourth proportional to 20,043.84, 27,660 and 11,091.68 is: 15,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.84 : 27,660 = 11,091.68 : x
  2. Step 2: Convert to fraction form
    20,043.84/27,660 = 11,091.68/x
  3. Step 3: Cross multiply
    20,043.84x = 27,660 × 11,091.68
  4. Step 4: Simplify right side
    20,043.84x = 306,795,868.80
  5. Step 5: Solve for x
    x = 306,795,868.80/20,043.84
  6. Step 6: Final answer
    x = 15,306.24

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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.