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Finding the Fourth Proportional to 16,469.80, 22,728.24 and 9,396.16

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Solution

The fourth proportional to 16,469.80, 22,728.24 and 9,396.16 is: 12,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.80 : 22,728.24 = 9,396.16 : x
  2. Step 2: Convert to fraction form
    16,469.80/22,728.24 = 9,396.16/x
  3. Step 3: Cross multiply
    16,469.80x = 22,728.24 × 9,396.16
  4. Step 4: Simplify right side
    16,469.80x = 213,558,179.56
  5. Step 5: Solve for x
    x = 213,558,179.56/16,469.80
  6. Step 6: Final answer
    x = 12,966.65

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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.