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Finding the Fourth Proportional to 12,512.82, 17,230.94 and 11,186.04

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Solution

The fourth proportional to 12,512.82, 17,230.94 and 11,186.04 is: 15,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.82 : 17,230.94 = 11,186.04 : x
  2. Step 2: Convert to fraction form
    12,512.82/17,230.94 = 11,186.04/x
  3. Step 3: Cross multiply
    12,512.82x = 17,230.94 × 11,186.04
  4. Step 4: Simplify right side
    12,512.82x = 192,745,984.08
  5. Step 5: Solve for x
    x = 192,745,984.08/12,512.82
  6. Step 6: Final answer
    x = 15,403.88

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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.