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Finding the Fourth Proportional to 27,794.80, 38,353.26 and 15,857.44

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Solution

The fourth proportional to 27,794.80, 38,353.26 and 15,857.44 is: 21,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.80 : 38,353.26 = 15,857.44 : x
  2. Step 2: Convert to fraction form
    27,794.80/38,353.26 = 15,857.44/x
  3. Step 3: Cross multiply
    27,794.80x = 38,353.26 × 15,857.44
  4. Step 4: Simplify right side
    27,794.80x = 608,184,519.25
  5. Step 5: Solve for x
    x = 608,184,519.25/27,794.80
  6. Step 6: Final answer
    x = 21,881.23

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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.