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Finding the Fourth Proportional to 17,189.64, 23,733 and 13,203.54

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Solution

The fourth proportional to 17,189.64, 23,733 and 13,203.54 is: 18,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.64 : 23,733 = 13,203.54 : x
  2. Step 2: Convert to fraction form
    17,189.64/23,733 = 13,203.54/x
  3. Step 3: Cross multiply
    17,189.64x = 23,733 × 13,203.54
  4. Step 4: Simplify right side
    17,189.64x = 313,359,614.82
  5. Step 5: Solve for x
    x = 313,359,614.82/17,189.64
  6. Step 6: Final answer
    x = 18,229.56

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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.