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Finding the Fourth Proportional to 13,141.92, 18,150.56 and 10,193.44

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Solution

The fourth proportional to 13,141.92, 18,150.56 and 10,193.44 is: 14,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.92 : 18,150.56 = 10,193.44 : x
  2. Step 2: Convert to fraction form
    13,141.92/18,150.56 = 10,193.44/x
  3. Step 3: Cross multiply
    13,141.92x = 18,150.56 × 10,193.44
  4. Step 4: Simplify right side
    13,141.92x = 185,016,644.33
  5. Step 5: Solve for x
    x = 185,016,644.33/13,141.92
  6. Step 6: Final answer
    x = 14,078.36

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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.