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Finding the Fourth Proportional to 20,147.44, 27,809.40 and 11,765.92

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Solution

The fourth proportional to 20,147.44, 27,809.40 and 11,765.92 is: 16,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.44 : 27,809.40 = 11,765.92 : x
  2. Step 2: Convert to fraction form
    20,147.44/27,809.40 = 11,765.92/x
  3. Step 3: Cross multiply
    20,147.44x = 27,809.40 × 11,765.92
  4. Step 4: Simplify right side
    20,147.44x = 327,203,175.65
  5. Step 5: Solve for x
    x = 327,203,175.65/20,147.44
  6. Step 6: Final answer
    x = 16,240.43

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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.