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Finding the Fourth Proportional to 12,647.84, 17,450.52 and 8,171.78

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Solution

The fourth proportional to 12,647.84, 17,450.52 and 8,171.78 is: 11,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.84 : 17,450.52 = 8,171.78 : x
  2. Step 2: Convert to fraction form
    12,647.84/17,450.52 = 8,171.78/x
  3. Step 3: Cross multiply
    12,647.84x = 17,450.52 × 8,171.78
  4. Step 4: Simplify right side
    12,647.84x = 142,601,810.33
  5. Step 5: Solve for x
    x = 142,601,810.33/12,647.84
  6. Step 6: Final answer
    x = 11,274.80

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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.