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Finding the Fourth Proportional to 13,105.82, 18,086.42 and 7,440.46

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Solution

The fourth proportional to 13,105.82, 18,086.42 and 7,440.46 is: 10,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.82 : 18,086.42 = 7,440.46 : x
  2. Step 2: Convert to fraction form
    13,105.82/18,086.42 = 7,440.46/x
  3. Step 3: Cross multiply
    13,105.82x = 18,086.42 × 7,440.46
  4. Step 4: Simplify right side
    13,105.82x = 134,571,257.94
  5. Step 5: Solve for x
    x = 134,571,257.94/13,105.82
  6. Step 6: Final answer
    x = 10,268.05

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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.