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Finding the Fourth Proportional to 12,691.74, 17,514.38 and 7,026.37

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Solution

The fourth proportional to 12,691.74, 17,514.38 and 7,026.37 is: 9,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.74 : 17,514.38 = 7,026.37 : x
  2. Step 2: Convert to fraction form
    12,691.74/17,514.38 = 7,026.37/x
  3. Step 3: Cross multiply
    12,691.74x = 17,514.38 × 7,026.37
  4. Step 4: Simplify right side
    12,691.74x = 123,062,487.98
  5. Step 5: Solve for x
    x = 123,062,487.98/12,691.74
  6. Step 6: Final answer
    x = 9,696.27

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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.