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Finding the Fourth Proportional to 13,414.86, 18,512.13 and 7,365.09

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Solution

The fourth proportional to 13,414.86, 18,512.13 and 7,365.09 is: 10,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.86 : 18,512.13 = 7,365.09 : x
  2. Step 2: Convert to fraction form
    13,414.86/18,512.13 = 7,365.09/x
  3. Step 3: Cross multiply
    13,414.86x = 18,512.13 × 7,365.09
  4. Step 4: Simplify right side
    13,414.86x = 136,343,503.54
  5. Step 5: Solve for x
    x = 136,343,503.54/13,414.86
  6. Step 6: Final answer
    x = 10,163.62

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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.