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Finding the Fourth Proportional to 20,134.60, 30,180.30 and 7,649.80

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Solution

The fourth proportional to 20,134.60, 30,180.30 and 7,649.80 is: 11,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.60 : 30,180.30 = 7,649.80 : x
  2. Step 2: Convert to fraction form
    20,134.60/30,180.30 = 7,649.80/x
  3. Step 3: Cross multiply
    20,134.60x = 30,180.30 × 7,649.80
  4. Step 4: Simplify right side
    20,134.60x = 230,873,258.94
  5. Step 5: Solve for x
    x = 230,873,258.94/20,134.60
  6. Step 6: Final answer
    x = 11,466.49

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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.