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Finding the Fourth Proportional to 12,786.22, 17,645.34 and 7,481.26

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Solution

The fourth proportional to 12,786.22, 17,645.34 and 7,481.26 is: 10,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.22 : 17,645.34 = 7,481.26 : x
  2. Step 2: Convert to fraction form
    12,786.22/17,645.34 = 7,481.26/x
  3. Step 3: Cross multiply
    12,786.22x = 17,645.34 × 7,481.26
  4. Step 4: Simplify right side
    12,786.22x = 132,009,376.33
  5. Step 5: Solve for x
    x = 132,009,376.33/12,786.22
  6. Step 6: Final answer
    x = 10,324.35

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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.