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Finding the Fourth Proportional to 21,067.44, 31,610.38 and 9,982.05

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Solution

The fourth proportional to 21,067.44, 31,610.38 and 9,982.05 is: 14,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067.44 : 31,610.38 = 9,982.05 : x
  2. Step 2: Convert to fraction form
    21,067.44/31,610.38 = 9,982.05/x
  3. Step 3: Cross multiply
    21,067.44x = 31,610.38 × 9,982.05
  4. Step 4: Simplify right side
    21,067.44x = 315,536,393.68
  5. Step 5: Solve for x
    x = 315,536,393.68/21,067.44
  6. Step 6: Final answer
    x = 14,977.44

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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.