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Finding the Fourth Proportional to 27,422.67, 37,843.40 and 14,847.42

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Solution

The fourth proportional to 27,422.67, 37,843.40 and 14,847.42 is: 20,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.67 : 37,843.40 = 14,847.42 : x
  2. Step 2: Convert to fraction form
    27,422.67/37,843.40 = 14,847.42/x
  3. Step 3: Cross multiply
    27,422.67x = 37,843.40 × 14,847.42
  4. Step 4: Simplify right side
    27,422.67x = 561,876,854.03
  5. Step 5: Solve for x
    x = 561,876,854.03/27,422.67
  6. Step 6: Final answer
    x = 20,489.50

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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.