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Finding the Fourth Proportional to 14,198.14, 19,593.43 and 8,233.26

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Solution

The fourth proportional to 14,198.14, 19,593.43 and 8,233.26 is: 11,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.14 : 19,593.43 = 8,233.26 : x
  2. Step 2: Convert to fraction form
    14,198.14/19,593.43 = 8,233.26/x
  3. Step 3: Cross multiply
    14,198.14x = 19,593.43 × 8,233.26
  4. Step 4: Simplify right side
    14,198.14x = 161,317,819.64
  5. Step 5: Solve for x
    x = 161,317,819.64/14,198.14
  6. Step 6: Final answer
    x = 11,361.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.