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Finding the Fourth Proportional to 23,694.32, 35,542.44 and 8,113.52

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Solution

The fourth proportional to 23,694.32, 35,542.44 and 8,113.52 is: 12,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.32 : 35,542.44 = 8,113.52 : x
  2. Step 2: Convert to fraction form
    23,694.32/35,542.44 = 8,113.52/x
  3. Step 3: Cross multiply
    23,694.32x = 35,542.44 × 8,113.52
  4. Step 4: Simplify right side
    23,694.32x = 288,374,297.79
  5. Step 5: Solve for x
    x = 288,374,297.79/23,694.32
  6. Step 6: Final answer
    x = 12,170.61

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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.