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Finding the Fourth Proportional to 17,827.92, 26,742.50 and 8,463.11

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Solution

The fourth proportional to 17,827.92, 26,742.50 and 8,463.11 is: 12,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.92 : 26,742.50 = 8,463.11 : x
  2. Step 2: Convert to fraction form
    17,827.92/26,742.50 = 8,463.11/x
  3. Step 3: Cross multiply
    17,827.92x = 26,742.50 × 8,463.11
  4. Step 4: Simplify right side
    17,827.92x = 226,324,786.03
  5. Step 5: Solve for x
    x = 226,324,786.03/17,827.92
  6. Step 6: Final answer
    x = 12,694.96

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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.