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Finding the Fourth Proportional to 13,619.08, 20,399.90 and 6,229.76

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Solution

The fourth proportional to 13,619.08, 20,399.90 and 6,229.76 is: 9,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.08 : 20,399.90 = 6,229.76 : x
  2. Step 2: Convert to fraction form
    13,619.08/20,399.90 = 6,229.76/x
  3. Step 3: Cross multiply
    13,619.08x = 20,399.90 × 6,229.76
  4. Step 4: Simplify right side
    13,619.08x = 127,086,481.02
  5. Step 5: Solve for x
    x = 127,086,481.02/13,619.08
  6. Step 6: Final answer
    x = 9,331.50

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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.