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Finding the Fourth Proportional to 29,826.71, 41,160.89 and 16,398.20

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Solution

The fourth proportional to 29,826.71, 41,160.89 and 16,398.20 is: 22,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.71 : 41,160.89 = 16,398.20 : x
  2. Step 2: Convert to fraction form
    29,826.71/41,160.89 = 16,398.20/x
  3. Step 3: Cross multiply
    29,826.71x = 41,160.89 × 16,398.20
  4. Step 4: Simplify right side
    29,826.71x = 674,964,418.77
  5. Step 5: Solve for x
    x = 674,964,418.77/29,826.71
  6. Step 6: Final answer
    x = 22,629.53

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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.