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Finding the Fourth Proportional to 17,147.22, 23,662.05 and 9,592.24

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Solution

The fourth proportional to 17,147.22, 23,662.05 and 9,592.24 is: 13,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.22 : 23,662.05 = 9,592.24 : x
  2. Step 2: Convert to fraction form
    17,147.22/23,662.05 = 9,592.24/x
  3. Step 3: Cross multiply
    17,147.22x = 23,662.05 × 9,592.24
  4. Step 4: Simplify right side
    17,147.22x = 226,972,062.49
  5. Step 5: Solve for x
    x = 226,972,062.49/17,147.22
  6. Step 6: Final answer
    x = 13,236.67

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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.