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Finding the Fourth Proportional to 26,911.77, 40,369.72 and 8,193.40

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Solution

The fourth proportional to 26,911.77, 40,369.72 and 8,193.40 is: 12,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,911.77 : 40,369.72 = 8,193.40 : x
  2. Step 2: Convert to fraction form
    26,911.77/40,369.72 = 8,193.40/x
  3. Step 3: Cross multiply
    26,911.77x = 40,369.72 × 8,193.40
  4. Step 4: Simplify right side
    26,911.77x = 330,765,361.84
  5. Step 5: Solve for x
    x = 330,765,361.84/26,911.77
  6. Step 6: Final answer
    x = 12,290.73

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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.