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Finding the Fourth Proportional to 16,104.26, 22,219.65 and 9,296.61

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Solution

The fourth proportional to 16,104.26, 22,219.65 and 9,296.61 is: 12,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.26 : 22,219.65 = 9,296.61 : x
  2. Step 2: Convert to fraction form
    16,104.26/22,219.65 = 9,296.61/x
  3. Step 3: Cross multiply
    16,104.26x = 22,219.65 × 9,296.61
  4. Step 4: Simplify right side
    16,104.26x = 206,567,420.39
  5. Step 5: Solve for x
    x = 206,567,420.39/16,104.26
  6. Step 6: Final answer
    x = 12,826.88

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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.