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Finding the Fourth Proportional to 13,829.00, 20,743.16 and 3,968.39

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Solution

The fourth proportional to 13,829.00, 20,743.16 and 3,968.39 is: 5,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.00 : 20,743.16 = 3,968.39 : x
  2. Step 2: Convert to fraction form
    13,829.00/20,743.16 = 3,968.39/x
  3. Step 3: Cross multiply
    13,829.00x = 20,743.16 × 3,968.39
  4. Step 4: Simplify right side
    13,829.00x = 82,316,980.73
  5. Step 5: Solve for x
    x = 82,316,980.73/13,829.00
  6. Step 6: Final answer
    x = 5,952.49

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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.