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Finding the Fourth Proportional to 16,431.21, 22,679.10 and 9,361.80

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Solution

The fourth proportional to 16,431.21, 22,679.10 and 9,361.80 is: 12,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.21 : 22,679.10 = 9,361.80 : x
  2. Step 2: Convert to fraction form
    16,431.21/22,679.10 = 9,361.80/x
  3. Step 3: Cross multiply
    16,431.21x = 22,679.10 × 9,361.80
  4. Step 4: Simplify right side
    16,431.21x = 212,317,198.38
  5. Step 5: Solve for x
    x = 212,317,198.38/16,431.21
  6. Step 6: Final answer
    x = 12,921.58

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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.