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Finding the Fourth Proportional to 20,982.68, 28,953.02 and 11,906.62

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Solution

The fourth proportional to 20,982.68, 28,953.02 and 11,906.62 is: 16,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.68 : 28,953.02 = 11,906.62 : x
  2. Step 2: Convert to fraction form
    20,982.68/28,953.02 = 11,906.62/x
  3. Step 3: Cross multiply
    20,982.68x = 28,953.02 × 11,906.62
  4. Step 4: Simplify right side
    20,982.68x = 344,732,606.99
  5. Step 5: Solve for x
    x = 344,732,606.99/20,982.68
  6. Step 6: Final answer
    x = 16,429.39

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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.