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Finding the Fourth Proportional to 11,896.35, 17,843.14 and 3,131.95

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Solution

The fourth proportional to 11,896.35, 17,843.14 and 3,131.95 is: 4,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.35 : 17,843.14 = 3,131.95 : x
  2. Step 2: Convert to fraction form
    11,896.35/17,843.14 = 3,131.95/x
  3. Step 3: Cross multiply
    11,896.35x = 17,843.14 × 3,131.95
  4. Step 4: Simplify right side
    11,896.35x = 55,883,733.11
  5. Step 5: Solve for x
    x = 55,883,733.11/11,896.35
  6. Step 6: Final answer
    x = 4,697.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.