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Finding the Fourth Proportional to 12,768.09, 17,611.31 and 8,283.83

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Solution

The fourth proportional to 12,768.09, 17,611.31 and 8,283.83 is: 11,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.09 : 17,611.31 = 8,283.83 : x
  2. Step 2: Convert to fraction form
    12,768.09/17,611.31 = 8,283.83/x
  3. Step 3: Cross multiply
    12,768.09x = 17,611.31 × 8,283.83
  4. Step 4: Simplify right side
    12,768.09x = 145,889,098.12
  5. Step 5: Solve for x
    x = 145,889,098.12/12,768.09
  6. Step 6: Final answer
    x = 11,426.07

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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.