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Finding the Fourth Proportional to 14,515.20, 20,029.80 and 8,227.20

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Solution

The fourth proportional to 14,515.20, 20,029.80 and 8,227.20 is: 11,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.20 : 20,029.80 = 8,227.20 : x
  2. Step 2: Convert to fraction form
    14,515.20/20,029.80 = 8,227.20/x
  3. Step 3: Cross multiply
    14,515.20x = 20,029.80 × 8,227.20
  4. Step 4: Simplify right side
    14,515.20x = 164,789,170.56
  5. Step 5: Solve for x
    x = 164,789,170.56/14,515.20
  6. Step 6: Final answer
    x = 11,352.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.