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Finding the Fourth Proportional to 16,536.35, 22,819.50 and 8,982.42

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Solution

The fourth proportional to 16,536.35, 22,819.50 and 8,982.42 is: 12,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.35 : 22,819.50 = 8,982.42 : x
  2. Step 2: Convert to fraction form
    16,536.35/22,819.50 = 8,982.42/x
  3. Step 3: Cross multiply
    16,536.35x = 22,819.50 × 8,982.42
  4. Step 4: Simplify right side
    16,536.35x = 204,974,333.19
  5. Step 5: Solve for x
    x = 204,974,333.19/16,536.35
  6. Step 6: Final answer
    x = 12,395.38

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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.