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Finding the Fourth Proportional to 27,714.73, 41,578.23 and 7,991.75

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Solution

The fourth proportional to 27,714.73, 41,578.23 and 7,991.75 is: 11,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.73 : 41,578.23 = 7,991.75 : x
  2. Step 2: Convert to fraction form
    27,714.73/41,578.23 = 7,991.75/x
  3. Step 3: Cross multiply
    27,714.73x = 41,578.23 × 7,991.75
  4. Step 4: Simplify right side
    27,714.73x = 332,282,611.71
  5. Step 5: Solve for x
    x = 332,282,611.71/27,714.73
  6. Step 6: Final answer
    x = 11,989.39

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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.