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Finding the Fourth Proportional to 16,852.60, 23,255 and 16,286.41

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Solution

The fourth proportional to 16,852.60, 23,255 and 16,286.41 is: 22,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.60 : 23,255 = 16,286.41 : x
  2. Step 2: Convert to fraction form
    16,852.60/23,255 = 16,286.41/x
  3. Step 3: Cross multiply
    16,852.60x = 23,255 × 16,286.41
  4. Step 4: Simplify right side
    16,852.60x = 378,740,348.28
  5. Step 5: Solve for x
    x = 378,740,348.28/16,852.60
  6. Step 6: Final answer
    x = 22,473.71

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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.