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Finding the Fourth Proportional to 13,481.98, 20,225.70 and 5,162.26

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Solution

The fourth proportional to 13,481.98, 20,225.70 and 5,162.26 is: 7,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.98 : 20,225.70 = 5,162.26 : x
  2. Step 2: Convert to fraction form
    13,481.98/20,225.70 = 5,162.26/x
  3. Step 3: Cross multiply
    13,481.98x = 20,225.70 × 5,162.26
  4. Step 4: Simplify right side
    13,481.98x = 104,410,296.27
  5. Step 5: Solve for x
    x = 104,410,296.27/13,481.98
  6. Step 6: Final answer
    x = 7,744.44

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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.