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Finding the Fourth Proportional to 11,768.69, 17,549.22 and 10,135.73

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Solution

The fourth proportional to 11,768.69, 17,549.22 and 10,135.73 is: 15,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.69 : 17,549.22 = 10,135.73 : x
  2. Step 2: Convert to fraction form
    11,768.69/17,549.22 = 10,135.73/x
  3. Step 3: Cross multiply
    11,768.69x = 17,549.22 × 10,135.73
  4. Step 4: Simplify right side
    11,768.69x = 177,874,067.88
  5. Step 5: Solve for x
    x = 177,874,067.88/11,768.69
  6. Step 6: Final answer
    x = 15,114.18

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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.