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Finding the Fourth Proportional to 24,143.74, 36,219.80 and 8,131.75

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Solution

The fourth proportional to 24,143.74, 36,219.80 and 8,131.75 is: 12,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.74 : 36,219.80 = 8,131.75 : x
  2. Step 2: Convert to fraction form
    24,143.74/36,219.80 = 8,131.75/x
  3. Step 3: Cross multiply
    24,143.74x = 36,219.80 × 8,131.75
  4. Step 4: Simplify right side
    24,143.74x = 294,530,288.43
  5. Step 5: Solve for x
    x = 294,530,288.43/24,143.74
  6. Step 6: Final answer
    x = 12,199.03

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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.