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Finding the Fourth Proportional to 16,474.73, 22,734 and 9,401.00

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Solution

The fourth proportional to 16,474.73, 22,734 and 9,401.00 is: 12,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.73 : 22,734 = 9,401.00 : x
  2. Step 2: Convert to fraction form
    16,474.73/22,734 = 9,401.00/x
  3. Step 3: Cross multiply
    16,474.73x = 22,734 × 9,401.00
  4. Step 4: Simplify right side
    16,474.73x = 213,722,220.33
  5. Step 5: Solve for x
    x = 213,722,220.33/16,474.73
  6. Step 6: Final answer
    x = 12,972.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.