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Finding the Fourth Proportional to 12,969.50, 19,453.19 and 3,481.07

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Solution

The fourth proportional to 12,969.50, 19,453.19 and 3,481.07 is: 5,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.50 : 19,453.19 = 3,481.07 : x
  2. Step 2: Convert to fraction form
    12,969.50/19,453.19 = 3,481.07/x
  3. Step 3: Cross multiply
    12,969.50x = 19,453.19 × 3,481.07
  4. Step 4: Simplify right side
    12,969.50x = 67,717,801.44
  5. Step 5: Solve for x
    x = 67,717,801.44/12,969.50
  6. Step 6: Final answer
    x = 5,221.31

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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.