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Finding the Fourth Proportional to 23,800.74, 35,704.16 and 7,998.99

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Solution

The fourth proportional to 23,800.74, 35,704.16 and 7,998.99 is: 11,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.74 : 35,704.16 = 7,998.99 : x
  2. Step 2: Convert to fraction form
    23,800.74/35,704.16 = 7,998.99/x
  3. Step 3: Cross multiply
    23,800.74x = 35,704.16 × 7,998.99
  4. Step 4: Simplify right side
    23,800.74x = 285,597,178.80
  5. Step 5: Solve for x
    x = 285,597,178.80/23,800.74
  6. Step 6: Final answer
    x = 11,999.51

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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.