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Finding the Fourth Proportional to 17,001.98, 23,463 and 10,286.42

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Solution

The fourth proportional to 17,001.98, 23,463 and 10,286.42 is: 14,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.98 : 23,463 = 10,286.42 : x
  2. Step 2: Convert to fraction form
    17,001.98/23,463 = 10,286.42/x
  3. Step 3: Cross multiply
    17,001.98x = 23,463 × 10,286.42
  4. Step 4: Simplify right side
    17,001.98x = 241,350,272.46
  5. Step 5: Solve for x
    x = 241,350,272.46/17,001.98
  6. Step 6: Final answer
    x = 14,195.42

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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.