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Finding the Fourth Proportional to 12,850.73, 17,737.77 and 7,474.43

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Solution

The fourth proportional to 12,850.73, 17,737.77 and 7,474.43 is: 10,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.73 : 17,737.77 = 7,474.43 : x
  2. Step 2: Convert to fraction form
    12,850.73/17,737.77 = 7,474.43/x
  3. Step 3: Cross multiply
    12,850.73x = 17,737.77 × 7,474.43
  4. Step 4: Simplify right side
    12,850.73x = 132,579,720.22
  5. Step 5: Solve for x
    x = 132,579,720.22/12,850.73
  6. Step 6: Final answer
    x = 10,316.90

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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.