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Finding the Fourth Proportional to 27,708, 41,580.24 and 12,125.64

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Solution

The fourth proportional to 27,708, 41,580.24 and 12,125.64 is: 18,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708 : 41,580.24 = 12,125.64 : x
  2. Step 2: Convert to fraction form
    27,708/41,580.24 = 12,125.64/x
  3. Step 3: Cross multiply
    27,708x = 41,580.24 × 12,125.64
  4. Step 4: Simplify right side
    27,708x = 504,187,021.35
  5. Step 5: Solve for x
    x = 504,187,021.35/27,708
  6. Step 6: Final answer
    x = 18,196.44

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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.