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Finding the Fourth Proportional to 17,512.86, 24,163.46 and 11,233.74

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Solution

The fourth proportional to 17,512.86, 24,163.46 and 11,233.74 is: 15,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,512.86 : 24,163.46 = 11,233.74 : x
  2. Step 2: Convert to fraction form
    17,512.86/24,163.46 = 11,233.74/x
  3. Step 3: Cross multiply
    17,512.86x = 24,163.46 × 11,233.74
  4. Step 4: Simplify right side
    17,512.86x = 271,446,027.14
  5. Step 5: Solve for x
    x = 271,446,027.14/17,512.86
  6. Step 6: Final answer
    x = 15,499.81

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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.