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Finding the Fourth Proportional to 24,797.89, 37,199.16 and 8,157.96

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Solution

The fourth proportional to 24,797.89, 37,199.16 and 8,157.96 is: 12,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.89 : 37,199.16 = 8,157.96 : x
  2. Step 2: Convert to fraction form
    24,797.89/37,199.16 = 8,157.96/x
  3. Step 3: Cross multiply
    24,797.89x = 37,199.16 × 8,157.96
  4. Step 4: Simplify right side
    24,797.89x = 303,469,259.31
  5. Step 5: Solve for x
    x = 303,469,259.31/24,797.89
  6. Step 6: Final answer
    x = 12,237.70

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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.