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Finding the Fourth Proportional to 20,245.90, 30,377.25 and 9,144.94

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Solution

The fourth proportional to 20,245.90, 30,377.25 and 9,144.94 is: 13,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.90 : 30,377.25 = 9,144.94 : x
  2. Step 2: Convert to fraction form
    20,245.90/30,377.25 = 9,144.94/x
  3. Step 3: Cross multiply
    20,245.90x = 30,377.25 × 9,144.94
  4. Step 4: Simplify right side
    20,245.90x = 277,798,128.62
  5. Step 5: Solve for x
    x = 277,798,128.62/20,245.90
  6. Step 6: Final answer
    x = 13,721.20

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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.