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Finding the Fourth Proportional to 12,850.82, 17,744.19 and 9,861.92

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Solution

The fourth proportional to 12,850.82, 17,744.19 and 9,861.92 is: 13,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.82 : 17,744.19 = 9,861.92 : x
  2. Step 2: Convert to fraction form
    12,850.82/17,744.19 = 9,861.92/x
  3. Step 3: Cross multiply
    12,850.82x = 17,744.19 × 9,861.92
  4. Step 4: Simplify right side
    12,850.82x = 174,991,801.95
  5. Step 5: Solve for x
    x = 174,991,801.95/12,850.82
  6. Step 6: Final answer
    x = 13,617.17

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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.