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Finding the Fourth Proportional to 16,535.82, 22,819.71 and 8,982.17

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Solution

The fourth proportional to 16,535.82, 22,819.71 and 8,982.17 is: 12,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.82 : 22,819.71 = 8,982.17 : x
  2. Step 2: Convert to fraction form
    16,535.82/22,819.71 = 8,982.17/x
  3. Step 3: Cross multiply
    16,535.82x = 22,819.71 × 8,982.17
  4. Step 4: Simplify right side
    16,535.82x = 204,970,400.47
  5. Step 5: Solve for x
    x = 204,970,400.47/16,535.82
  6. Step 6: Final answer
    x = 12,395.54

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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.