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Finding the Fourth Proportional to 20,123.44, 30,185.54 and 6,976.24

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Solution

The fourth proportional to 20,123.44, 30,185.54 and 6,976.24 is: 10,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.44 : 30,185.54 = 6,976.24 : x
  2. Step 2: Convert to fraction form
    20,123.44/30,185.54 = 6,976.24/x
  3. Step 3: Cross multiply
    20,123.44x = 30,185.54 × 6,976.24
  4. Step 4: Simplify right side
    20,123.44x = 210,581,571.57
  5. Step 5: Solve for x
    x = 210,581,571.57/20,123.44
  6. Step 6: Final answer
    x = 10,464.49

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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.