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Finding the Fourth Proportional to 12,447.92, 17,169.33 and 7,408.26

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Solution

The fourth proportional to 12,447.92, 17,169.33 and 7,408.26 is: 10,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.92 : 17,169.33 = 7,408.26 : x
  2. Step 2: Convert to fraction form
    12,447.92/17,169.33 = 7,408.26/x
  3. Step 3: Cross multiply
    12,447.92x = 17,169.33 × 7,408.26
  4. Step 4: Simplify right side
    12,447.92x = 127,194,860.67
  5. Step 5: Solve for x
    x = 127,194,860.67/12,447.92
  6. Step 6: Final answer
    x = 10,218.17

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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.