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Finding the Fourth Proportional to 11,596.62, 17,310.96 and 10,195.38

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Solution

The fourth proportional to 11,596.62, 17,310.96 and 10,195.38 is: 15,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.62 : 17,310.96 = 10,195.38 : x
  2. Step 2: Convert to fraction form
    11,596.62/17,310.96 = 10,195.38/x
  3. Step 3: Cross multiply
    11,596.62x = 17,310.96 × 10,195.38
  4. Step 4: Simplify right side
    11,596.62x = 176,491,815.36
  5. Step 5: Solve for x
    x = 176,491,815.36/11,596.62
  6. Step 6: Final answer
    x = 15,219.25

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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.