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Finding the Fourth Proportional to 14,414.20, 19,891.20 and 8,040.98

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Solution

The fourth proportional to 14,414.20, 19,891.20 and 8,040.98 is: 11,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.20 : 19,891.20 = 8,040.98 : x
  2. Step 2: Convert to fraction form
    14,414.20/19,891.20 = 8,040.98/x
  3. Step 3: Cross multiply
    14,414.20x = 19,891.20 × 8,040.98
  4. Step 4: Simplify right side
    14,414.20x = 159,944,741.38
  5. Step 5: Solve for x
    x = 159,944,741.38/14,414.20
  6. Step 6: Final answer
    x = 11,096.33

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Why These Related Problems?

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