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Finding the Fourth Proportional to 20,157.48, 27,819.14 and 11,206.80

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Solution

The fourth proportional to 20,157.48, 27,819.14 and 11,206.80 is: 15,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.48 : 27,819.14 = 11,206.80 : x
  2. Step 2: Convert to fraction form
    20,157.48/27,819.14 = 11,206.80/x
  3. Step 3: Cross multiply
    20,157.48x = 27,819.14 × 11,206.80
  4. Step 4: Simplify right side
    20,157.48x = 311,763,538.15
  5. Step 5: Solve for x
    x = 311,763,538.15/20,157.48
  6. Step 6: Final answer
    x = 15,466.39

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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.