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Finding the Fourth Proportional to 20,388.20, 30,583 and 7,241.60

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Solution

The fourth proportional to 20,388.20, 30,583 and 7,241.60 is: 10,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.20 : 30,583 = 7,241.60 : x
  2. Step 2: Convert to fraction form
    20,388.20/30,583 = 7,241.60/x
  3. Step 3: Cross multiply
    20,388.20x = 30,583 × 7,241.60
  4. Step 4: Simplify right side
    20,388.20x = 221,469,852.80
  5. Step 5: Solve for x
    x = 221,469,852.80/20,388.20
  6. Step 6: Final answer
    x = 10,862.65

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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.