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Finding the Fourth Proportional to 16,535.76, 22,819.76 and 8,982.09

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Solution

The fourth proportional to 16,535.76, 22,819.76 and 8,982.09 is: 12,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.76 : 22,819.76 = 8,982.09 : x
  2. Step 2: Convert to fraction form
    16,535.76/22,819.76 = 8,982.09/x
  3. Step 3: Cross multiply
    16,535.76x = 22,819.76 × 8,982.09
  4. Step 4: Simplify right side
    16,535.76x = 204,969,164.76
  5. Step 5: Solve for x
    x = 204,969,164.76/16,535.76
  6. Step 6: Final answer
    x = 12,395.51

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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.