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Finding the Fourth Proportional to 23,704.68, 35,514.90 and 11,211.24

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Solution

The fourth proportional to 23,704.68, 35,514.90 and 11,211.24 is: 16,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.68 : 35,514.90 = 11,211.24 : x
  2. Step 2: Convert to fraction form
    23,704.68/35,514.90 = 11,211.24/x
  3. Step 3: Cross multiply
    23,704.68x = 35,514.90 × 11,211.24
  4. Step 4: Simplify right side
    23,704.68x = 398,166,067.48
  5. Step 5: Solve for x
    x = 398,166,067.48/23,704.68
  6. Step 6: Final answer
    x = 16,796.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.