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Finding the Fourth Proportional to 20,618.09, 30,943.54 and 8,141.26

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Solution

The fourth proportional to 20,618.09, 30,943.54 and 8,141.26 is: 12,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,618.09 : 30,943.54 = 8,141.26 : x
  2. Step 2: Convert to fraction form
    20,618.09/30,943.54 = 8,141.26/x
  3. Step 3: Cross multiply
    20,618.09x = 30,943.54 × 8,141.26
  4. Step 4: Simplify right side
    20,618.09x = 251,919,418.19
  5. Step 5: Solve for x
    x = 251,919,418.19/20,618.09
  6. Step 6: Final answer
    x = 12,218.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.