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Finding the Fourth Proportional to 12,372.73, 18,542.49 and 5,784.73

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Solution

The fourth proportional to 12,372.73, 18,542.49 and 5,784.73 is: 8,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.73 : 18,542.49 = 5,784.73 : x
  2. Step 2: Convert to fraction form
    12,372.73/18,542.49 = 5,784.73/x
  3. Step 3: Cross multiply
    12,372.73x = 18,542.49 × 5,784.73
  4. Step 4: Simplify right side
    12,372.73x = 107,263,298.18
  5. Step 5: Solve for x
    x = 107,263,298.18/12,372.73
  6. Step 6: Final answer
    x = 8,669.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.