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Finding the Fourth Proportional to 20,348.10, 30,517.53 and 7,200.47

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Solution

The fourth proportional to 20,348.10, 30,517.53 and 7,200.47 is: 10,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.10 : 30,517.53 = 7,200.47 : x
  2. Step 2: Convert to fraction form
    20,348.10/30,517.53 = 7,200.47/x
  3. Step 3: Cross multiply
    20,348.10x = 30,517.53 × 7,200.47
  4. Step 4: Simplify right side
    20,348.10x = 219,740,583.45
  5. Step 5: Solve for x
    x = 219,740,583.45/20,348.10
  6. Step 6: Final answer
    x = 10,799.07

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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.