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Finding the Fourth Proportional to 29,221.24, 40,324.70 and 16,474.44

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Solution

The fourth proportional to 29,221.24, 40,324.70 and 16,474.44 is: 22,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221.24 : 40,324.70 = 16,474.44 : x
  2. Step 2: Convert to fraction form
    29,221.24/40,324.70 = 16,474.44/x
  3. Step 3: Cross multiply
    29,221.24x = 40,324.70 × 16,474.44
  4. Step 4: Simplify right side
    29,221.24x = 664,326,850.67
  5. Step 5: Solve for x
    x = 664,326,850.67/29,221.24
  6. Step 6: Final answer
    x = 22,734.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.