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Finding the Fourth Proportional to 27,844.44, 41,758.44 and 8,117.70

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Solution

The fourth proportional to 27,844.44, 41,758.44 and 8,117.70 is: 12,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.44 : 41,758.44 = 8,117.70 : x
  2. Step 2: Convert to fraction form
    27,844.44/41,758.44 = 8,117.70/x
  3. Step 3: Cross multiply
    27,844.44x = 41,758.44 × 8,117.70
  4. Step 4: Simplify right side
    27,844.44x = 338,982,488.39
  5. Step 5: Solve for x
    x = 338,982,488.39/27,844.44
  6. Step 6: Final answer
    x = 12,174.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.