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Finding the Fourth Proportional to 20,770.63, 28,664.53 and 11,819.41

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Solution

The fourth proportional to 20,770.63, 28,664.53 and 11,819.41 is: 16,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.63 : 28,664.53 = 11,819.41 : x
  2. Step 2: Convert to fraction form
    20,770.63/28,664.53 = 11,819.41/x
  3. Step 3: Cross multiply
    20,770.63x = 28,664.53 × 11,819.41
  4. Step 4: Simplify right side
    20,770.63x = 338,797,731.32
  5. Step 5: Solve for x
    x = 338,797,731.32/20,770.63
  6. Step 6: Final answer
    x = 16,311.39

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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.