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Finding the Fourth Proportional to 12,173.14, 16,791.87 and 8,390.44

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Solution

The fourth proportional to 12,173.14, 16,791.87 and 8,390.44 is: 11,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.14 : 16,791.87 = 8,390.44 : x
  2. Step 2: Convert to fraction form
    12,173.14/16,791.87 = 8,390.44/x
  3. Step 3: Cross multiply
    12,173.14x = 16,791.87 × 8,390.44
  4. Step 4: Simplify right side
    12,173.14x = 140,891,177.72
  5. Step 5: Solve for x
    x = 140,891,177.72/12,173.14
  6. Step 6: Final answer
    x = 11,573.94

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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.