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Finding the Fourth Proportional to 12,471.86, 18,692.17 and 6,233.60

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Solution

The fourth proportional to 12,471.86, 18,692.17 and 6,233.60 is: 9,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.86 : 18,692.17 = 6,233.60 : x
  2. Step 2: Convert to fraction form
    12,471.86/18,692.17 = 6,233.60/x
  3. Step 3: Cross multiply
    12,471.86x = 18,692.17 × 6,233.60
  4. Step 4: Simplify right side
    12,471.86x = 116,519,542.06
  5. Step 5: Solve for x
    x = 116,519,542.06/12,471.86
  6. Step 6: Final answer
    x = 9,342.59

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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.