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Finding the Fourth Proportional to 16,772.21, 23,145.89 and 9,219.24

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Solution

The fourth proportional to 16,772.21, 23,145.89 and 9,219.24 is: 12,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.21 : 23,145.89 = 9,219.24 : x
  2. Step 2: Convert to fraction form
    16,772.21/23,145.89 = 9,219.24/x
  3. Step 3: Cross multiply
    16,772.21x = 23,145.89 × 9,219.24
  4. Step 4: Simplify right side
    16,772.21x = 213,387,520.69
  5. Step 5: Solve for x
    x = 213,387,520.69/16,772.21
  6. Step 6: Final answer
    x = 12,722.68

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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.