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Finding the Fourth Proportional to 17,202.34, 23,744.25 and 11,234.89

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Solution

The fourth proportional to 17,202.34, 23,744.25 and 11,234.89 is: 15,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.34 : 23,744.25 = 11,234.89 : x
  2. Step 2: Convert to fraction form
    17,202.34/23,744.25 = 11,234.89/x
  3. Step 3: Cross multiply
    17,202.34x = 23,744.25 × 11,234.89
  4. Step 4: Simplify right side
    17,202.34x = 266,764,036.88
  5. Step 5: Solve for x
    x = 266,764,036.88/17,202.34
  6. Step 6: Final answer
    x = 15,507.43

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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.