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Finding the Fourth Proportional to 13,193.82, 18,201.24 and 7,812.86

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Solution

The fourth proportional to 13,193.82, 18,201.24 and 7,812.86 is: 10,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.82 : 18,201.24 = 7,812.86 : x
  2. Step 2: Convert to fraction form
    13,193.82/18,201.24 = 7,812.86/x
  3. Step 3: Cross multiply
    13,193.82x = 18,201.24 × 7,812.86
  4. Step 4: Simplify right side
    13,193.82x = 142,203,648.94
  5. Step 5: Solve for x
    x = 142,203,648.94/13,193.82
  6. Step 6: Final answer
    x = 10,778.05

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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.