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Finding the Fourth Proportional to 12,093.14, 17,993.40 and 11,791.82

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Solution

The fourth proportional to 12,093.14, 17,993.40 and 11,791.82 is: 17,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.14 : 17,993.40 = 11,791.82 : x
  2. Step 2: Convert to fraction form
    12,093.14/17,993.40 = 11,791.82/x
  3. Step 3: Cross multiply
    12,093.14x = 17,993.40 × 11,791.82
  4. Step 4: Simplify right side
    12,093.14x = 212,174,934.75
  5. Step 5: Solve for x
    x = 212,174,934.75/12,093.14
  6. Step 6: Final answer
    x = 17,545.06

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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.