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Finding the Fourth Proportional to 27,422.62, 37,843.22 and 14,847.37

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Solution

The fourth proportional to 27,422.62, 37,843.22 and 14,847.37 is: 20,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.62 : 37,843.22 = 14,847.37 : x
  2. Step 2: Convert to fraction form
    27,422.62/37,843.22 = 14,847.37/x
  3. Step 3: Cross multiply
    27,422.62x = 37,843.22 × 14,847.37
  4. Step 4: Simplify right side
    27,422.62x = 561,872,289.33
  5. Step 5: Solve for x
    x = 561,872,289.33/27,422.62
  6. Step 6: Final answer
    x = 20,489.37

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