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Finding the Fourth Proportional to 27,244, 37,571.76 and 17,673.92

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Solution

The fourth proportional to 27,244, 37,571.76 and 17,673.92 is: 24,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244 : 37,571.76 = 17,673.92 : x
  2. Step 2: Convert to fraction form
    27,244/37,571.76 = 17,673.92/x
  3. Step 3: Cross multiply
    27,244x = 37,571.76 × 17,673.92
  4. Step 4: Simplify right side
    27,244x = 664,040,280.50
  5. Step 5: Solve for x
    x = 664,040,280.50/27,244
  6. Step 6: Final answer
    x = 24,373.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.