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Finding the Fourth Proportional to 24,838.25, 37,257.98 and 8,199.73

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Solution

The fourth proportional to 24,838.25, 37,257.98 and 8,199.73 is: 12,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.25 : 37,257.98 = 8,199.73 : x
  2. Step 2: Convert to fraction form
    24,838.25/37,257.98 = 8,199.73/x
  3. Step 3: Cross multiply
    24,838.25x = 37,257.98 × 8,199.73
  4. Step 4: Simplify right side
    24,838.25x = 305,505,381.92
  5. Step 5: Solve for x
    x = 305,505,381.92/24,838.25
  6. Step 6: Final answer
    x = 12,299.80

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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.