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Finding the Fourth Proportional to 17,286, 23,857.56 and 13,086.96

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Solution

The fourth proportional to 17,286, 23,857.56 and 13,086.96 is: 18,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286 : 23,857.56 = 13,086.96 : x
  2. Step 2: Convert to fraction form
    17,286/23,857.56 = 13,086.96/x
  3. Step 3: Cross multiply
    17,286x = 23,857.56 × 13,086.96
  4. Step 4: Simplify right side
    17,286x = 312,222,933.42
  5. Step 5: Solve for x
    x = 312,222,933.42/17,286
  6. Step 6: Final answer
    x = 18,062.19

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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.