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Finding the Fourth Proportional to 12,647.34, 17,450.10 and 8,169.66

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Solution

The fourth proportional to 12,647.34, 17,450.10 and 8,169.66 is: 11,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.34 : 17,450.10 = 8,169.66 : x
  2. Step 2: Convert to fraction form
    12,647.34/17,450.10 = 8,169.66/x
  3. Step 3: Cross multiply
    12,647.34x = 17,450.10 × 8,169.66
  4. Step 4: Simplify right side
    12,647.34x = 142,561,383.97
  5. Step 5: Solve for x
    x = 142,561,383.97/12,647.34
  6. Step 6: Final answer
    x = 11,272.04

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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.