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Finding the Fourth Proportional to 27,697.88, 41,522 and 10,163.64

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Solution

The fourth proportional to 27,697.88, 41,522 and 10,163.64 is: 15,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.88 : 41,522 = 10,163.64 : x
  2. Step 2: Convert to fraction form
    27,697.88/41,522 = 10,163.64/x
  3. Step 3: Cross multiply
    27,697.88x = 41,522 × 10,163.64
  4. Step 4: Simplify right side
    27,697.88x = 422,014,660.08
  5. Step 5: Solve for x
    x = 422,014,660.08/27,697.88
  6. Step 6: Final answer
    x = 15,236.35

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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.