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Finding the Fourth Proportional to 15,249.10, 22,857.78 and 7,837.06

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Solution

The fourth proportional to 15,249.10, 22,857.78 and 7,837.06 is: 11,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,249.10 : 22,857.78 = 7,837.06 : x
  2. Step 2: Convert to fraction form
    15,249.10/22,857.78 = 7,837.06/x
  3. Step 3: Cross multiply
    15,249.10x = 22,857.78 × 7,837.06
  4. Step 4: Simplify right side
    15,249.10x = 179,137,793.33
  5. Step 5: Solve for x
    x = 179,137,793.33/15,249.10
  6. Step 6: Final answer
    x = 11,747.43

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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.