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Finding the Fourth Proportional to 20,131.73, 30,194.14 and 5,342.14

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Solution

The fourth proportional to 20,131.73, 30,194.14 and 5,342.14 is: 8,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.73 : 30,194.14 = 5,342.14 : x
  2. Step 2: Convert to fraction form
    20,131.73/30,194.14 = 5,342.14/x
  3. Step 3: Cross multiply
    20,131.73x = 30,194.14 × 5,342.14
  4. Step 4: Simplify right side
    20,131.73x = 161,301,323.06
  5. Step 5: Solve for x
    x = 161,301,323.06/20,131.73
  6. Step 6: Final answer
    x = 8,012.29

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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.