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Finding the Fourth Proportional to 13,858.43, 20,791.28 and 3,998.50

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Solution

The fourth proportional to 13,858.43, 20,791.28 and 3,998.50 is: 5,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.43 : 20,791.28 = 3,998.50 : x
  2. Step 2: Convert to fraction form
    13,858.43/20,791.28 = 3,998.50/x
  3. Step 3: Cross multiply
    13,858.43x = 20,791.28 × 3,998.50
  4. Step 4: Simplify right side
    13,858.43x = 83,133,891.10
  5. Step 5: Solve for x
    x = 83,133,891.10/13,858.43
  6. Step 6: Final answer
    x = 5,998.80

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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.