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Finding the Fourth Proportional to 13,213.78, 19,824.11 and 5,819.69

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Solution

The fourth proportional to 13,213.78, 19,824.11 and 5,819.69 is: 8,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.78 : 19,824.11 = 5,819.69 : x
  2. Step 2: Convert to fraction form
    13,213.78/19,824.11 = 5,819.69/x
  3. Step 3: Cross multiply
    13,213.78x = 19,824.11 × 5,819.69
  4. Step 4: Simplify right side
    13,213.78x = 115,370,174.73
  5. Step 5: Solve for x
    x = 115,370,174.73/13,213.78
  6. Step 6: Final answer
    x = 8,731.05

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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.