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Finding the Fourth Proportional to 23,704.60, 35,557.44 and 8,122

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Solution

The fourth proportional to 23,704.60, 35,557.44 and 8,122 is: 12,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.60 : 35,557.44 = 8,122 : x
  2. Step 2: Convert to fraction form
    23,704.60/35,557.44 = 8,122/x
  3. Step 3: Cross multiply
    23,704.60x = 35,557.44 × 8,122
  4. Step 4: Simplify right side
    23,704.60x = 288,797,527.68
  5. Step 5: Solve for x
    x = 288,797,527.68/23,704.60
  6. Step 6: Final answer
    x = 12,183.19

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Why These Related Problems?

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