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Finding the Fourth Proportional to 29,826.98, 41,162.21 and 16,399.21

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Solution

The fourth proportional to 29,826.98, 41,162.21 and 16,399.21 is: 22,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.98 : 41,162.21 = 16,399.21 : x
  2. Step 2: Convert to fraction form
    29,826.98/41,162.21 = 16,399.21/x
  3. Step 3: Cross multiply
    29,826.98x = 41,162.21 × 16,399.21
  4. Step 4: Simplify right side
    29,826.98x = 675,027,679.63
  5. Step 5: Solve for x
    x = 675,027,679.63/29,826.98
  6. Step 6: Final answer
    x = 22,631.44

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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.