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Finding the Fourth Proportional to 26,906.48, 40,361.16 and 8,185.09

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Solution

The fourth proportional to 26,906.48, 40,361.16 and 8,185.09 is: 12,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.48 : 40,361.16 = 8,185.09 : x
  2. Step 2: Convert to fraction form
    26,906.48/40,361.16 = 8,185.09/x
  3. Step 3: Cross multiply
    26,906.48x = 40,361.16 × 8,185.09
  4. Step 4: Simplify right side
    26,906.48x = 330,359,727.10
  5. Step 5: Solve for x
    x = 330,359,727.10/26,906.48
  6. Step 6: Final answer
    x = 12,278.07

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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.