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Finding the Fourth Proportional to 16,414.68, 22,625.82 and 11,107.56

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Solution

The fourth proportional to 16,414.68, 22,625.82 and 11,107.56 is: 15,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.68 : 22,625.82 = 11,107.56 : x
  2. Step 2: Convert to fraction form
    16,414.68/22,625.82 = 11,107.56/x
  3. Step 3: Cross multiply
    16,414.68x = 22,625.82 × 11,107.56
  4. Step 4: Simplify right side
    16,414.68x = 251,317,653.20
  5. Step 5: Solve for x
    x = 251,317,653.20/16,414.68
  6. Step 6: Final answer
    x = 15,310.54

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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.