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Finding the Fourth Proportional to 27,682.64, 38,201.82 and 15,745.97

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Solution

The fourth proportional to 27,682.64, 38,201.82 and 15,745.97 is: 21,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.64 : 38,201.82 = 15,745.97 : x
  2. Step 2: Convert to fraction form
    27,682.64/38,201.82 = 15,745.97/x
  3. Step 3: Cross multiply
    27,682.64x = 38,201.82 × 15,745.97
  4. Step 4: Simplify right side
    27,682.64x = 601,524,711.67
  5. Step 5: Solve for x
    x = 601,524,711.67/27,682.64
  6. Step 6: Final answer
    x = 21,729.31

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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.