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Finding the Fourth Proportional to 16,536.31, 22,819.73 and 8,982.48

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Solution

The fourth proportional to 16,536.31, 22,819.73 and 8,982.48 is: 12,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.31 : 22,819.73 = 8,982.48 : x
  2. Step 2: Convert to fraction form
    16,536.31/22,819.73 = 8,982.48/x
  3. Step 3: Cross multiply
    16,536.31x = 22,819.73 × 8,982.48
  4. Step 4: Simplify right side
    16,536.31x = 204,977,689.34
  5. Step 5: Solve for x
    x = 204,977,689.34/16,536.31
  6. Step 6: Final answer
    x = 12,395.61

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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.