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Finding the Fourth Proportional to 27,757.69, 38,305.91 and 15,182.44

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Solution

The fourth proportional to 27,757.69, 38,305.91 and 15,182.44 is: 20,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.69 : 38,305.91 = 15,182.44 : x
  2. Step 2: Convert to fraction form
    27,757.69/38,305.91 = 15,182.44/x
  3. Step 3: Cross multiply
    27,757.69x = 38,305.91 × 15,182.44
  4. Step 4: Simplify right side
    27,757.69x = 581,577,122.41
  5. Step 5: Solve for x
    x = 581,577,122.41/27,757.69
  6. Step 6: Final answer
    x = 20,951.93

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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.