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Finding the Fourth Proportional to 29,826.92, 41,161.17 and 16,398.41

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Solution

The fourth proportional to 29,826.92, 41,161.17 and 16,398.41 is: 22,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.92 : 41,161.17 = 16,398.41 : x
  2. Step 2: Convert to fraction form
    29,826.92/41,161.17 = 16,398.41/x
  3. Step 3: Cross multiply
    29,826.92x = 41,161.17 × 16,398.41
  4. Step 4: Simplify right side
    29,826.92x = 674,977,597.43
  5. Step 5: Solve for x
    x = 674,977,597.43/29,826.92
  6. Step 6: Final answer
    x = 22,629.81

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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.