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Finding the Fourth Proportional to 20,348.44, 30,522.57 and 7,201.78

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Solution

The fourth proportional to 20,348.44, 30,522.57 and 7,201.78 is: 10,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.44 : 30,522.57 = 7,201.78 : x
  2. Step 2: Convert to fraction form
    20,348.44/30,522.57 = 7,201.78/x
  3. Step 3: Cross multiply
    20,348.44x = 30,522.57 × 7,201.78
  4. Step 4: Simplify right side
    20,348.44x = 219,816,834.17
  5. Step 5: Solve for x
    x = 219,816,834.17/20,348.44
  6. Step 6: Final answer
    x = 10,802.64

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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.