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Finding the Fourth Proportional to 17,286.20, 23,850.90 and 10,213.68

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Solution

The fourth proportional to 17,286.20, 23,850.90 and 10,213.68 is: 14,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.20 : 23,850.90 = 10,213.68 : x
  2. Step 2: Convert to fraction form
    17,286.20/23,850.90 = 10,213.68/x
  3. Step 3: Cross multiply
    17,286.20x = 23,850.90 × 10,213.68
  4. Step 4: Simplify right side
    17,286.20x = 243,605,460.31
  5. Step 5: Solve for x
    x = 243,605,460.31/17,286.20
  6. Step 6: Final answer
    x = 14,092.48

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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.