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Finding the Fourth Proportional to 16,657.62, 22,992.60 and 10,286.16

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Solution

The fourth proportional to 16,657.62, 22,992.60 and 10,286.16 is: 14,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.62 : 22,992.60 = 10,286.16 : x
  2. Step 2: Convert to fraction form
    16,657.62/22,992.60 = 10,286.16/x
  3. Step 3: Cross multiply
    16,657.62x = 22,992.60 × 10,286.16
  4. Step 4: Simplify right side
    16,657.62x = 236,505,562.42
  5. Step 5: Solve for x
    x = 236,505,562.42/16,657.62
  6. Step 6: Final answer
    x = 14,198.04

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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.