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Finding the Fourth Proportional to 13,073.89, 19,610.67 and 3,213.26

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Solution

The fourth proportional to 13,073.89, 19,610.67 and 3,213.26 is: 4,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.89 : 19,610.67 = 3,213.26 : x
  2. Step 2: Convert to fraction form
    13,073.89/19,610.67 = 3,213.26/x
  3. Step 3: Cross multiply
    13,073.89x = 19,610.67 × 3,213.26
  4. Step 4: Simplify right side
    13,073.89x = 63,014,067.36
  5. Step 5: Solve for x
    x = 63,014,067.36/13,073.89
  6. Step 6: Final answer
    x = 4,819.84

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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.