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Finding the Fourth Proportional to 26,892.75, 40,341.26 and 8,174.41

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Solution

The fourth proportional to 26,892.75, 40,341.26 and 8,174.41 is: 12,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,892.75 : 40,341.26 = 8,174.41 : x
  2. Step 2: Convert to fraction form
    26,892.75/40,341.26 = 8,174.41/x
  3. Step 3: Cross multiply
    26,892.75x = 40,341.26 × 8,174.41
  4. Step 4: Simplify right side
    26,892.75x = 329,765,958.28
  5. Step 5: Solve for x
    x = 329,765,958.28/26,892.75
  6. Step 6: Final answer
    x = 12,262.26

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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.