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Finding the Fourth Proportional to 20,180.84, 30,247.44 and 9,074.48

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Solution

The fourth proportional to 20,180.84, 30,247.44 and 9,074.48 is: 13,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.84 : 30,247.44 = 9,074.48 : x
  2. Step 2: Convert to fraction form
    20,180.84/30,247.44 = 9,074.48/x
  3. Step 3: Cross multiply
    20,180.84x = 30,247.44 × 9,074.48
  4. Step 4: Simplify right side
    20,180.84x = 274,479,789.33
  5. Step 5: Solve for x
    x = 274,479,789.33/20,180.84
  6. Step 6: Final answer
    x = 13,601.01

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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.