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Finding the Fourth Proportional to 13,073.26, 19,613.14 and 3,839.26

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Solution

The fourth proportional to 13,073.26, 19,613.14 and 3,839.26 is: 5,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.26 : 19,613.14 = 3,839.26 : x
  2. Step 2: Convert to fraction form
    13,073.26/19,613.14 = 3,839.26/x
  3. Step 3: Cross multiply
    13,073.26x = 19,613.14 × 3,839.26
  4. Step 4: Simplify right side
    13,073.26x = 75,299,943.88
  5. Step 5: Solve for x
    x = 75,299,943.88/13,073.26
  6. Step 6: Final answer
    x = 5,759.84

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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.