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Finding the Fourth Proportional to 13,216.26, 19,824.38 and 3,982.26

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Solution

The fourth proportional to 13,216.26, 19,824.38 and 3,982.26 is: 5,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.26 : 19,824.38 = 3,982.26 : x
  2. Step 2: Convert to fraction form
    13,216.26/19,824.38 = 3,982.26/x
  3. Step 3: Cross multiply
    13,216.26x = 19,824.38 × 3,982.26
  4. Step 4: Simplify right side
    13,216.26x = 78,945,835.50
  5. Step 5: Solve for x
    x = 78,945,835.50/13,216.26
  6. Step 6: Final answer
    x = 5,973.39

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Why These Related Problems?

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