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Finding the Fourth Proportional to 20,996.54, 31,495.41 and 5,414.16

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Solution

The fourth proportional to 20,996.54, 31,495.41 and 5,414.16 is: 8,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.54 : 31,495.41 = 5,414.16 : x
  2. Step 2: Convert to fraction form
    20,996.54/31,495.41 = 5,414.16/x
  3. Step 3: Cross multiply
    20,996.54x = 31,495.41 × 5,414.16
  4. Step 4: Simplify right side
    20,996.54x = 170,521,189.01
  5. Step 5: Solve for x
    x = 170,521,189.01/20,996.54
  6. Step 6: Final answer
    x = 8,121.40

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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.