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Finding the Fourth Proportional to 13,033.76, 17,982.36 and 7,367.96

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Solution

The fourth proportional to 13,033.76, 17,982.36 and 7,367.96 is: 10,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.76 : 17,982.36 = 7,367.96 : x
  2. Step 2: Convert to fraction form
    13,033.76/17,982.36 = 7,367.96/x
  3. Step 3: Cross multiply
    13,033.76x = 17,982.36 × 7,367.96
  4. Step 4: Simplify right side
    13,033.76x = 132,493,309.19
  5. Step 5: Solve for x
    x = 132,493,309.19/13,033.76
  6. Step 6: Final answer
    x = 10,165.39

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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.