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Finding the Fourth Proportional to 20,144.88, 30,229.44 and 7,006.47

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Solution

The fourth proportional to 20,144.88, 30,229.44 and 7,006.47 is: 10,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.88 : 30,229.44 = 7,006.47 : x
  2. Step 2: Convert to fraction form
    20,144.88/30,229.44 = 7,006.47/x
  3. Step 3: Cross multiply
    20,144.88x = 30,229.44 × 7,006.47
  4. Step 4: Simplify right side
    20,144.88x = 211,801,664.48
  5. Step 5: Solve for x
    x = 211,801,664.48/20,144.88
  6. Step 6: Final answer
    x = 10,513.92

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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.