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Finding the Fourth Proportional to 17,522.25, 26,282.42 and 7,142.73

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Solution

The fourth proportional to 17,522.25, 26,282.42 and 7,142.73 is: 10,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.25 : 26,282.42 = 7,142.73 : x
  2. Step 2: Convert to fraction form
    17,522.25/26,282.42 = 7,142.73/x
  3. Step 3: Cross multiply
    17,522.25x = 26,282.42 × 7,142.73
  4. Step 4: Simplify right side
    17,522.25x = 187,728,194.09
  5. Step 5: Solve for x
    x = 187,728,194.09/17,522.25
  6. Step 6: Final answer
    x = 10,713.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.