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Finding the Fourth Proportional to 12,786.68, 17,645.26 and 7,121.43

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Solution

The fourth proportional to 12,786.68, 17,645.26 and 7,121.43 is: 9,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.68 : 17,645.26 = 7,121.43 : x
  2. Step 2: Convert to fraction form
    12,786.68/17,645.26 = 7,121.43/x
  3. Step 3: Cross multiply
    12,786.68x = 17,645.26 × 7,121.43
  4. Step 4: Simplify right side
    12,786.68x = 125,659,483.92
  5. Step 5: Solve for x
    x = 125,659,483.92/12,786.68
  6. Step 6: Final answer
    x = 9,827.37

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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.