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Finding the Fourth Proportional to 19,876.17, 29,819.83 and 6,729.54

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Solution

The fourth proportional to 19,876.17, 29,819.83 and 6,729.54 is: 10,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.17 : 29,819.83 = 6,729.54 : x
  2. Step 2: Convert to fraction form
    19,876.17/29,819.83 = 6,729.54/x
  3. Step 3: Cross multiply
    19,876.17x = 29,819.83 × 6,729.54
  4. Step 4: Simplify right side
    19,876.17x = 200,673,738.78
  5. Step 5: Solve for x
    x = 200,673,738.78/19,876.17
  6. Step 6: Final answer
    x = 10,096.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.