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Finding the Fourth Proportional to 26,997.87, 40,509.12 and 13,859.48

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Solution

The fourth proportional to 26,997.87, 40,509.12 and 13,859.48 is: 20,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,997.87 : 40,509.12 = 13,859.48 : x
  2. Step 2: Convert to fraction form
    26,997.87/40,509.12 = 13,859.48/x
  3. Step 3: Cross multiply
    26,997.87x = 40,509.12 × 13,859.48
  4. Step 4: Simplify right side
    26,997.87x = 561,435,338.46
  5. Step 5: Solve for x
    x = 561,435,338.46/26,997.87
  6. Step 6: Final answer
    x = 20,795.54

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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.