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Finding the Fourth Proportional to 27,422.94, 37,843.69 and 14,847.69

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Solution

The fourth proportional to 27,422.94, 37,843.69 and 14,847.69 is: 20,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.94 : 37,843.69 = 14,847.69 : x
  2. Step 2: Convert to fraction form
    27,422.94/37,843.69 = 14,847.69/x
  3. Step 3: Cross multiply
    27,422.94x = 37,843.69 × 14,847.69
  4. Step 4: Simplify right side
    27,422.94x = 561,891,377.58
  5. Step 5: Solve for x
    x = 561,891,377.58/27,422.94
  6. Step 6: Final answer
    x = 20,489.83

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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.