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Finding the Fourth Proportional to 13,171.92, 18,195 and 10,538.16

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Solution

The fourth proportional to 13,171.92, 18,195 and 10,538.16 is: 14,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.92 : 18,195 = 10,538.16 : x
  2. Step 2: Convert to fraction form
    13,171.92/18,195 = 10,538.16/x
  3. Step 3: Cross multiply
    13,171.92x = 18,195 × 10,538.16
  4. Step 4: Simplify right side
    13,171.92x = 191,741,821.20
  5. Step 5: Solve for x
    x = 191,741,821.20/13,171.92
  6. Step 6: Final answer
    x = 14,556.86

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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.