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Finding the Fourth Proportional to 14,396.20, 19,866.39 and 8,022.82

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Solution

The fourth proportional to 14,396.20, 19,866.39 and 8,022.82 is: 11,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.20 : 19,866.39 = 8,022.82 : x
  2. Step 2: Convert to fraction form
    14,396.20/19,866.39 = 8,022.82/x
  3. Step 3: Cross multiply
    14,396.20x = 19,866.39 × 8,022.82
  4. Step 4: Simplify right side
    14,396.20x = 159,384,471.02
  5. Step 5: Solve for x
    x = 159,384,471.02/14,396.20
  6. Step 6: Final answer
    x = 11,071.29

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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.