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Finding the Fourth Proportional to 15,174.88, 20,944.56 and 10,204

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Solution

The fourth proportional to 15,174.88, 20,944.56 and 10,204 is: 14,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.88 : 20,944.56 = 10,204 : x
  2. Step 2: Convert to fraction form
    15,174.88/20,944.56 = 10,204/x
  3. Step 3: Cross multiply
    15,174.88x = 20,944.56 × 10,204
  4. Step 4: Simplify right side
    15,174.88x = 213,718,290.24
  5. Step 5: Solve for x
    x = 213,718,290.24/15,174.88
  6. Step 6: Final answer
    x = 14,083.69

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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.