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Finding the Fourth Proportional to 16,517.84, 24,777.58 and 5,427.73

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Solution

The fourth proportional to 16,517.84, 24,777.58 and 5,427.73 is: 8,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.84 : 24,777.58 = 5,427.73 : x
  2. Step 2: Convert to fraction form
    16,517.84/24,777.58 = 5,427.73/x
  3. Step 3: Cross multiply
    16,517.84x = 24,777.58 × 5,427.73
  4. Step 4: Simplify right side
    16,517.84x = 134,485,938.78
  5. Step 5: Solve for x
    x = 134,485,938.78/16,517.84
  6. Step 6: Final answer
    x = 8,141.86

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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.