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Finding the Fourth Proportional to 29,819.70, 41,150.49 and 16,207.43

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Solution

The fourth proportional to 29,819.70, 41,150.49 and 16,207.43 is: 22,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.70 : 41,150.49 = 16,207.43 : x
  2. Step 2: Convert to fraction form
    29,819.70/41,150.49 = 16,207.43/x
  3. Step 3: Cross multiply
    29,819.70x = 41,150.49 × 16,207.43
  4. Step 4: Simplify right side
    29,819.70x = 666,943,480.39
  5. Step 5: Solve for x
    x = 666,943,480.39/29,819.70
  6. Step 6: Final answer
    x = 22,365.87

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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.