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Finding the Fourth Proportional to 17,857.92, 26,780.40 and 6,168

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Solution

The fourth proportional to 17,857.92, 26,780.40 and 6,168 is: 9,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.92 : 26,780.40 = 6,168 : x
  2. Step 2: Convert to fraction form
    17,857.92/26,780.40 = 6,168/x
  3. Step 3: Cross multiply
    17,857.92x = 26,780.40 × 6,168
  4. Step 4: Simplify right side
    17,857.92x = 165,181,507.20
  5. Step 5: Solve for x
    x = 165,181,507.20/17,857.92
  6. Step 6: Final answer
    x = 9,249.76

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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.