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Finding the Fourth Proportional to 20,189.97, 30,285.12 and 7,042.32

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Solution

The fourth proportional to 20,189.97, 30,285.12 and 7,042.32 is: 10,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.97 : 30,285.12 = 7,042.32 : x
  2. Step 2: Convert to fraction form
    20,189.97/30,285.12 = 7,042.32/x
  3. Step 3: Cross multiply
    20,189.97x = 30,285.12 × 7,042.32
  4. Step 4: Simplify right side
    20,189.97x = 213,277,506.28
  5. Step 5: Solve for x
    x = 213,277,506.28/20,189.97
  6. Step 6: Final answer
    x = 10,563.54

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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.