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Finding the Fourth Proportional to 12,940.17, 17,856.84 and 7,912.77

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Solution

The fourth proportional to 12,940.17, 17,856.84 and 7,912.77 is: 10,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.17 : 17,856.84 = 7,912.77 : x
  2. Step 2: Convert to fraction form
    12,940.17/17,856.84 = 7,912.77/x
  3. Step 3: Cross multiply
    12,940.17x = 17,856.84 × 7,912.77
  4. Step 4: Simplify right side
    12,940.17x = 141,297,067.85
  5. Step 5: Solve for x
    x = 141,297,067.85/12,940.17
  6. Step 6: Final answer
    x = 10,919.26

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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.