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Finding the Fourth Proportional to 23,221.12, 34,845.52 and 8,431.20

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Solution

The fourth proportional to 23,221.12, 34,845.52 and 8,431.20 is: 12,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.12 : 34,845.52 = 8,431.20 : x
  2. Step 2: Convert to fraction form
    23,221.12/34,845.52 = 8,431.20/x
  3. Step 3: Cross multiply
    23,221.12x = 34,845.52 × 8,431.20
  4. Step 4: Simplify right side
    23,221.12x = 293,789,548.22
  5. Step 5: Solve for x
    x = 293,789,548.22/23,221.12
  6. Step 6: Final answer
    x = 12,651.83

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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.