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Finding the Fourth Proportional to 23,696.32, 35,469.94 and 16,257.28

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Solution

The fourth proportional to 23,696.32, 35,469.94 and 16,257.28 is: 24,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.32 : 35,469.94 = 16,257.28 : x
  2. Step 2: Convert to fraction form
    23,696.32/35,469.94 = 16,257.28/x
  3. Step 3: Cross multiply
    23,696.32x = 35,469.94 × 16,257.28
  4. Step 4: Simplify right side
    23,696.32x = 576,644,746.16
  5. Step 5: Solve for x
    x = 576,644,746.16/23,696.32
  6. Step 6: Final answer
    x = 24,334.78

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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.