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Finding the Fourth Proportional to 17,842.96, 26,575.97 and 16,906.24

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Solution

The fourth proportional to 17,842.96, 26,575.97 and 16,906.24 is: 25,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.96 : 26,575.97 = 16,906.24 : x
  2. Step 2: Convert to fraction form
    17,842.96/26,575.97 = 16,906.24/x
  3. Step 3: Cross multiply
    17,842.96x = 26,575.97 × 16,906.24
  4. Step 4: Simplify right side
    17,842.96x = 449,299,727.05
  5. Step 5: Solve for x
    x = 449,299,727.05/17,842.96
  6. Step 6: Final answer
    x = 25,180.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.