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Finding the Fourth Proportional to 16,542.50, 24,694.66 and 14,177

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Solution

The fourth proportional to 16,542.50, 24,694.66 and 14,177 is: 21,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.50 : 24,694.66 = 14,177 : x
  2. Step 2: Convert to fraction form
    16,542.50/24,694.66 = 14,177/x
  3. Step 3: Cross multiply
    16,542.50x = 24,694.66 × 14,177
  4. Step 4: Simplify right side
    16,542.50x = 350,096,194.82
  5. Step 5: Solve for x
    x = 350,096,194.82/16,542.50
  6. Step 6: Final answer
    x = 21,163.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.