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Finding the Fourth Proportional to 26,805.84, 40,202.64 and 10,167.72

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Solution

The fourth proportional to 26,805.84, 40,202.64 and 10,167.72 is: 15,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.84 : 40,202.64 = 10,167.72 : x
  2. Step 2: Convert to fraction form
    26,805.84/40,202.64 = 10,167.72/x
  3. Step 3: Cross multiply
    26,805.84x = 40,202.64 × 10,167.72
  4. Step 4: Simplify right side
    26,805.84x = 408,769,186.78
  5. Step 5: Solve for x
    x = 408,769,186.78/26,805.84
  6. Step 6: Final answer
    x = 15,249.26

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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.