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Finding the Fourth Proportional to 27,173.88, 40,767 and 9,643.68

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Solution

The fourth proportional to 27,173.88, 40,767 and 9,643.68 is: 14,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,173.88 : 40,767 = 9,643.68 : x
  2. Step 2: Convert to fraction form
    27,173.88/40,767 = 9,643.68/x
  3. Step 3: Cross multiply
    27,173.88x = 40,767 × 9,643.68
  4. Step 4: Simplify right side
    27,173.88x = 393,143,902.56
  5. Step 5: Solve for x
    x = 393,143,902.56/27,173.88
  6. Step 6: Final answer
    x = 14,467.71

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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.