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Finding the Fourth Proportional to 20,525.38, 30,800.39 and 7,378.80

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Solution

The fourth proportional to 20,525.38, 30,800.39 and 7,378.80 is: 11,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.38 : 30,800.39 = 7,378.80 : x
  2. Step 2: Convert to fraction form
    20,525.38/30,800.39 = 7,378.80/x
  3. Step 3: Cross multiply
    20,525.38x = 30,800.39 × 7,378.80
  4. Step 4: Simplify right side
    20,525.38x = 227,269,917.73
  5. Step 5: Solve for x
    x = 227,269,917.73/20,525.38
  6. Step 6: Final answer
    x = 11,072.63

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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.