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Finding the Fourth Proportional to 13,998.80, 20,986.04 and 5,231.36

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Solution

The fourth proportional to 13,998.80, 20,986.04 and 5,231.36 is: 7,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.80 : 20,986.04 = 5,231.36 : x
  2. Step 2: Convert to fraction form
    13,998.80/20,986.04 = 5,231.36/x
  3. Step 3: Cross multiply
    13,998.80x = 20,986.04 × 5,231.36
  4. Step 4: Simplify right side
    13,998.80x = 109,785,530.21
  5. Step 5: Solve for x
    x = 109,785,530.21/13,998.80
  6. Step 6: Final answer
    x = 7,842.50

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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.