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Finding the Fourth Proportional to 11,906.22, 16,393.17 and 10,109.91

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Solution

The fourth proportional to 11,906.22, 16,393.17 and 10,109.91 is: 13,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.22 : 16,393.17 = 10,109.91 : x
  2. Step 2: Convert to fraction form
    11,906.22/16,393.17 = 10,109.91/x
  3. Step 3: Cross multiply
    11,906.22x = 16,393.17 × 10,109.91
  4. Step 4: Simplify right side
    11,906.22x = 165,733,473.31
  5. Step 5: Solve for x
    x = 165,733,473.31/11,906.22
  6. Step 6: Final answer
    x = 13,919.91

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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.