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Finding the Fourth Proportional to 14,414.20, 19,891.21 and 8,040.99

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Solution

The fourth proportional to 14,414.20, 19,891.21 and 8,040.99 is: 11,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.20 : 19,891.21 = 8,040.99 : x
  2. Step 2: Convert to fraction form
    14,414.20/19,891.21 = 8,040.99/x
  3. Step 3: Cross multiply
    14,414.20x = 19,891.21 × 8,040.99
  4. Step 4: Simplify right side
    14,414.20x = 159,945,020.70
  5. Step 5: Solve for x
    x = 159,945,020.70/14,414.20
  6. Step 6: Final answer
    x = 11,096.35

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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.