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Finding the Fourth Proportional to 27,857.79, 41,794.02 and 13,817.25

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Solution

The fourth proportional to 27,857.79, 41,794.02 and 13,817.25 is: 20,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.79 : 41,794.02 = 13,817.25 : x
  2. Step 2: Convert to fraction form
    27,857.79/41,794.02 = 13,817.25/x
  3. Step 3: Cross multiply
    27,857.79x = 41,794.02 × 13,817.25
  4. Step 4: Simplify right side
    27,857.79x = 577,478,422.85
  5. Step 5: Solve for x
    x = 577,478,422.85/27,857.79
  6. Step 6: Final answer
    x = 20,729.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.