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Finding the Fourth Proportional to 27,759.44, 38,294.92 and 20,186.32

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Solution

The fourth proportional to 27,759.44, 38,294.92 and 20,186.32 is: 27,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.44 : 38,294.92 = 20,186.32 : x
  2. Step 2: Convert to fraction form
    27,759.44/38,294.92 = 20,186.32/x
  3. Step 3: Cross multiply
    27,759.44x = 38,294.92 × 20,186.32
  4. Step 4: Simplify right side
    27,759.44x = 773,033,509.49
  5. Step 5: Solve for x
    x = 773,033,509.49/27,759.44
  6. Step 6: Final answer
    x = 27,847.59

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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.