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Finding the Fourth Proportional to 17,408.86, 24,015.49 and 11,736.43

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Solution

The fourth proportional to 17,408.86, 24,015.49 and 11,736.43 is: 16,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.86 : 24,015.49 = 11,736.43 : x
  2. Step 2: Convert to fraction form
    17,408.86/24,015.49 = 11,736.43/x
  3. Step 3: Cross multiply
    17,408.86x = 24,015.49 × 11,736.43
  4. Step 4: Simplify right side
    17,408.86x = 281,856,027.92
  5. Step 5: Solve for x
    x = 281,856,027.92/17,408.86
  6. Step 6: Final answer
    x = 16,190.38

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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.