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Finding the Fourth Proportional to 11,696.56, 17,394.42 and 11,327.40

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Solution

The fourth proportional to 11,696.56, 17,394.42 and 11,327.40 is: 16,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.56 : 17,394.42 = 11,327.40 : x
  2. Step 2: Convert to fraction form
    11,696.56/17,394.42 = 11,327.40/x
  3. Step 3: Cross multiply
    11,696.56x = 17,394.42 × 11,327.40
  4. Step 4: Simplify right side
    11,696.56x = 197,033,553.11
  5. Step 5: Solve for x
    x = 197,033,553.11/11,696.56
  6. Step 6: Final answer
    x = 16,845.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.