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Finding the Fourth Proportional to 24,843.38, 37,266.80 and 8,215.11

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Solution

The fourth proportional to 24,843.38, 37,266.80 and 8,215.11 is: 12,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.38 : 37,266.80 = 8,215.11 : x
  2. Step 2: Convert to fraction form
    24,843.38/37,266.80 = 8,215.11/x
  3. Step 3: Cross multiply
    24,843.38x = 37,266.80 × 8,215.11
  4. Step 4: Simplify right side
    24,843.38x = 306,150,861.35
  5. Step 5: Solve for x
    x = 306,150,861.35/24,843.38
  6. Step 6: Final answer
    x = 12,323.24

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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.