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Finding the Fourth Proportional to 23,837.86, 35,757.05 and 7,198.03

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Solution

The fourth proportional to 23,837.86, 35,757.05 and 7,198.03 is: 10,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.86 : 35,757.05 = 7,198.03 : x
  2. Step 2: Convert to fraction form
    23,837.86/35,757.05 = 7,198.03/x
  3. Step 3: Cross multiply
    23,837.86x = 35,757.05 × 7,198.03
  4. Step 4: Simplify right side
    23,837.86x = 257,380,318.61
  5. Step 5: Solve for x
    x = 257,380,318.61/23,837.86
  6. Step 6: Final answer
    x = 10,797.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.