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Finding the Fourth Proportional to 17,067.44, 23,550.36 and 9,614

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Solution

The fourth proportional to 17,067.44, 23,550.36 and 9,614 is: 13,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067.44 : 23,550.36 = 9,614 : x
  2. Step 2: Convert to fraction form
    17,067.44/23,550.36 = 9,614/x
  3. Step 3: Cross multiply
    17,067.44x = 23,550.36 × 9,614
  4. Step 4: Simplify right side
    17,067.44x = 226,413,161.04
  5. Step 5: Solve for x
    x = 226,413,161.04/17,067.44
  6. Step 6: Final answer
    x = 13,265.80

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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.