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Finding the Fourth Proportional to 27,364.82, 37,760.69 and 20,198.66

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Solution

The fourth proportional to 27,364.82, 37,760.69 and 20,198.66 is: 27,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.82 : 37,760.69 = 20,198.66 : x
  2. Step 2: Convert to fraction form
    27,364.82/37,760.69 = 20,198.66/x
  3. Step 3: Cross multiply
    27,364.82x = 37,760.69 × 20,198.66
  4. Step 4: Simplify right side
    27,364.82x = 762,715,048.88
  5. Step 5: Solve for x
    x = 762,715,048.88/27,364.82
  6. Step 6: Final answer
    x = 27,872.11

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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.