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Finding the Fourth Proportional to 25,331.75, 37,997.63 and 6,863.75

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Solution

The fourth proportional to 25,331.75, 37,997.63 and 6,863.75 is: 10,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,331.75 : 37,997.63 = 6,863.75 : x
  2. Step 2: Convert to fraction form
    25,331.75/37,997.63 = 6,863.75/x
  3. Step 3: Cross multiply
    25,331.75x = 37,997.63 × 6,863.75
  4. Step 4: Simplify right side
    25,331.75x = 260,806,198.59
  5. Step 5: Solve for x
    x = 260,806,198.59/25,331.75
  6. Step 6: Final answer
    x = 10,295.63

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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.