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Finding the Fourth Proportional to 27,682.09, 41,521.68 and 7,959.87

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Solution

The fourth proportional to 27,682.09, 41,521.68 and 7,959.87 is: 11,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.09 : 41,521.68 = 7,959.87 : x
  2. Step 2: Convert to fraction form
    27,682.09/41,521.68 = 7,959.87/x
  3. Step 3: Cross multiply
    27,682.09x = 41,521.68 × 7,959.87
  4. Step 4: Simplify right side
    27,682.09x = 330,507,174.98
  5. Step 5: Solve for x
    x = 330,507,174.98/27,682.09
  6. Step 6: Final answer
    x = 11,939.39

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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.