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Finding the Fourth Proportional to 20,221.48, 30,311.70 and 7,738.30

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Solution

The fourth proportional to 20,221.48, 30,311.70 and 7,738.30 is: 11,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.48 : 30,311.70 = 7,738.30 : x
  2. Step 2: Convert to fraction form
    20,221.48/30,311.70 = 7,738.30/x
  3. Step 3: Cross multiply
    20,221.48x = 30,311.70 × 7,738.30
  4. Step 4: Simplify right side
    20,221.48x = 234,561,028.11
  5. Step 5: Solve for x
    x = 234,561,028.11/20,221.48
  6. Step 6: Final answer
    x = 11,599.60

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