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Finding the Fourth Proportional to 26,982.38, 40,473.84 and 8,262.38

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Solution

The fourth proportional to 26,982.38, 40,473.84 and 8,262.38 is: 12,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982.38 : 40,473.84 = 8,262.38 : x
  2. Step 2: Convert to fraction form
    26,982.38/40,473.84 = 8,262.38/x
  3. Step 3: Cross multiply
    26,982.38x = 40,473.84 × 8,262.38
  4. Step 4: Simplify right side
    26,982.38x = 334,410,246.14
  5. Step 5: Solve for x
    x = 334,410,246.14/26,982.38
  6. Step 6: Final answer
    x = 12,393.65

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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.