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Finding the Fourth Proportional to 13,986, 20,987.24 and 6,194.88

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Solution

The fourth proportional to 13,986, 20,987.24 and 6,194.88 is: 9,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 20,987.24 = 6,194.88 : x
  2. Step 2: Convert to fraction form
    13,986/20,987.24 = 6,194.88/x
  3. Step 3: Cross multiply
    13,986x = 20,987.24 × 6,194.88
  4. Step 4: Simplify right side
    13,986x = 130,013,402.36
  5. Step 5: Solve for x
    x = 130,013,402.36/13,986
  6. Step 6: Final answer
    x = 9,295.97

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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.