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Finding the Fourth Proportional to 14,163.22, 19,546.77 and 8,194.78

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Solution

The fourth proportional to 14,163.22, 19,546.77 and 8,194.78 is: 11,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.22 : 19,546.77 = 8,194.78 : x
  2. Step 2: Convert to fraction form
    14,163.22/19,546.77 = 8,194.78/x
  3. Step 3: Cross multiply
    14,163.22x = 19,546.77 × 8,194.78
  4. Step 4: Simplify right side
    14,163.22x = 160,181,479.86
  5. Step 5: Solve for x
    x = 160,181,479.86/14,163.22
  6. Step 6: Final answer
    x = 11,309.68

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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.