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Finding the Fourth Proportional to 27,714.35, 41,577.67 and 7,991.37

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Solution

The fourth proportional to 27,714.35, 41,577.67 and 7,991.37 is: 11,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.35 : 41,577.67 = 7,991.37 : x
  2. Step 2: Convert to fraction form
    27,714.35/41,577.67 = 7,991.37/x
  3. Step 3: Cross multiply
    27,714.35x = 41,577.67 × 7,991.37
  4. Step 4: Simplify right side
    27,714.35x = 332,262,544.71
  5. Step 5: Solve for x
    x = 332,262,544.71/27,714.35
  6. Step 6: Final answer
    x = 11,988.83

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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.