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Finding the Fourth Proportional to 20,149.60, 30,202.80 and 7,664.80

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Solution

The fourth proportional to 20,149.60, 30,202.80 and 7,664.80 is: 11,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.60 : 30,202.80 = 7,664.80 : x
  2. Step 2: Convert to fraction form
    20,149.60/30,202.80 = 7,664.80/x
  3. Step 3: Cross multiply
    20,149.60x = 30,202.80 × 7,664.80
  4. Step 4: Simplify right side
    20,149.60x = 231,498,421.44
  5. Step 5: Solve for x
    x = 231,498,421.44/20,149.60
  6. Step 6: Final answer
    x = 11,488.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.