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Finding the Fourth Proportional to 20,380.68, 30,553.68 and 9,283.44

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Solution

The fourth proportional to 20,380.68, 30,553.68 and 9,283.44 is: 13,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.68 : 30,553.68 = 9,283.44 : x
  2. Step 2: Convert to fraction form
    20,380.68/30,553.68 = 9,283.44/x
  3. Step 3: Cross multiply
    20,380.68x = 30,553.68 × 9,283.44
  4. Step 4: Simplify right side
    20,380.68x = 283,643,255.06
  5. Step 5: Solve for x
    x = 283,643,255.06/20,380.68
  6. Step 6: Final answer
    x = 13,917.26

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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.