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Finding the Fourth Proportional to 20,135.42, 30,204.60 and 5,344

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Solution

The fourth proportional to 20,135.42, 30,204.60 and 5,344 is: 8,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.42 : 30,204.60 = 5,344 : x
  2. Step 2: Convert to fraction form
    20,135.42/30,204.60 = 5,344/x
  3. Step 3: Cross multiply
    20,135.42x = 30,204.60 × 5,344
  4. Step 4: Simplify right side
    20,135.42x = 161,413,382.40
  5. Step 5: Solve for x
    x = 161,413,382.40/20,135.42
  6. Step 6: Final answer
    x = 8,016.39

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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.