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Finding the Fourth Proportional to 13,859.16, 20,786.22 and 3,996

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Solution

The fourth proportional to 13,859.16, 20,786.22 and 3,996 is: 5,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.16 : 20,786.22 = 3,996 : x
  2. Step 2: Convert to fraction form
    13,859.16/20,786.22 = 3,996/x
  3. Step 3: Cross multiply
    13,859.16x = 20,786.22 × 3,996
  4. Step 4: Simplify right side
    13,859.16x = 83,061,735.12
  5. Step 5: Solve for x
    x = 83,061,735.12/13,859.16
  6. Step 6: Final answer
    x = 5,993.27

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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.