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Finding the Fourth Proportional to 29,826.30, 41,160.56 and 16,214.37

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Solution

The fourth proportional to 29,826.30, 41,160.56 and 16,214.37 is: 22,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.30 : 41,160.56 = 16,214.37 : x
  2. Step 2: Convert to fraction form
    29,826.30/41,160.56 = 16,214.37/x
  3. Step 3: Cross multiply
    29,826.30x = 41,160.56 × 16,214.37
  4. Step 4: Simplify right side
    29,826.30x = 667,392,437.48
  5. Step 5: Solve for x
    x = 667,392,437.48/29,826.30
  6. Step 6: Final answer
    x = 22,375.97

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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.