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Finding the Fourth Proportional to 16,772.97, 23,147.25 and 9,219.57

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Solution

The fourth proportional to 16,772.97, 23,147.25 and 9,219.57 is: 12,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.97 : 23,147.25 = 9,219.57 : x
  2. Step 2: Convert to fraction form
    16,772.97/23,147.25 = 9,219.57/x
  3. Step 3: Cross multiply
    16,772.97x = 23,147.25 × 9,219.57
  4. Step 4: Simplify right side
    16,772.97x = 213,407,575.95
  5. Step 5: Solve for x
    x = 213,407,575.95/16,772.97
  6. Step 6: Final answer
    x = 12,723.30

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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.