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Finding the Fourth Proportional to 16,474.72, 22,735.20 and 9,401.80

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Solution

The fourth proportional to 16,474.72, 22,735.20 and 9,401.80 is: 12,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.72 : 22,735.20 = 9,401.80 : x
  2. Step 2: Convert to fraction form
    16,474.72/22,735.20 = 9,401.80/x
  3. Step 3: Cross multiply
    16,474.72x = 22,735.20 × 9,401.80
  4. Step 4: Simplify right side
    16,474.72x = 213,751,803.36
  5. Step 5: Solve for x
    x = 213,751,803.36/16,474.72
  6. Step 6: Final answer
    x = 12,974.53

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