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Finding the Fourth Proportional to 11,633.41, 16,046.91 and 10,144.90

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Solution

The fourth proportional to 11,633.41, 16,046.91 and 10,144.90 is: 13,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.41 : 16,046.91 = 10,144.90 : x
  2. Step 2: Convert to fraction form
    11,633.41/16,046.91 = 10,144.90/x
  3. Step 3: Cross multiply
    11,633.41x = 16,046.91 × 10,144.90
  4. Step 4: Simplify right side
    11,633.41x = 162,794,297.26
  5. Step 5: Solve for x
    x = 162,794,297.26/11,633.41
  6. Step 6: Final answer
    x = 13,993.69

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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.