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Finding the Fourth Proportional to 16,812, 23,202 and 9,361.44

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Solution

The fourth proportional to 16,812, 23,202 and 9,361.44 is: 12,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812 : 23,202 = 9,361.44 : x
  2. Step 2: Convert to fraction form
    16,812/23,202 = 9,361.44/x
  3. Step 3: Cross multiply
    16,812x = 23,202 × 9,361.44
  4. Step 4: Simplify right side
    16,812x = 217,204,130.88
  5. Step 5: Solve for x
    x = 217,204,130.88/16,812
  6. Step 6: Final answer
    x = 12,919.59

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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.