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Finding the Fourth Proportional to 12,447.36, 17,169.62 and 7,408.14

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Solution

The fourth proportional to 12,447.36, 17,169.62 and 7,408.14 is: 10,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.36 : 17,169.62 = 7,408.14 : x
  2. Step 2: Convert to fraction form
    12,447.36/17,169.62 = 7,408.14/x
  3. Step 3: Cross multiply
    12,447.36x = 17,169.62 × 7,408.14
  4. Step 4: Simplify right side
    12,447.36x = 127,194,911.67
  5. Step 5: Solve for x
    x = 127,194,911.67/12,447.36
  6. Step 6: Final answer
    x = 10,218.63

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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.