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Finding the Fourth Proportional to 12,647.97, 17,450.80 and 8,170.09

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Solution

The fourth proportional to 12,647.97, 17,450.80 and 8,170.09 is: 11,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.97 : 17,450.80 = 8,170.09 : x
  2. Step 2: Convert to fraction form
    12,647.97/17,450.80 = 8,170.09/x
  3. Step 3: Cross multiply
    12,647.97x = 17,450.80 × 8,170.09
  4. Step 4: Simplify right side
    12,647.97x = 142,574,542.52
  5. Step 5: Solve for x
    x = 142,574,542.52/12,647.97
  6. Step 6: Final answer
    x = 11,272.52

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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.