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Finding the Fourth Proportional to 17,067.21, 23,551.97 and 9,514.36

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Solution

The fourth proportional to 17,067.21, 23,551.97 and 9,514.36 is: 13,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067.21 : 23,551.97 = 9,514.36 : x
  2. Step 2: Convert to fraction form
    17,067.21/23,551.97 = 9,514.36/x
  3. Step 3: Cross multiply
    17,067.21x = 23,551.97 × 9,514.36
  4. Step 4: Simplify right side
    17,067.21x = 224,081,903.16
  5. Step 5: Solve for x
    x = 224,081,903.16/17,067.21
  6. Step 6: Final answer
    x = 13,129.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.