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Finding the Fourth Proportional to 20,180.73, 30,258.79 and 7,687.41

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Solution

The fourth proportional to 20,180.73, 30,258.79 and 7,687.41 is: 11,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.73 : 30,258.79 = 7,687.41 : x
  2. Step 2: Convert to fraction form
    20,180.73/30,258.79 = 7,687.41/x
  3. Step 3: Cross multiply
    20,180.73x = 30,258.79 × 7,687.41
  4. Step 4: Simplify right side
    20,180.73x = 232,611,724.83
  5. Step 5: Solve for x
    x = 232,611,724.83/20,180.73
  6. Step 6: Final answer
    x = 11,526.43

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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.