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Finding the Fourth Proportional to 20,144.90, 30,217.91 and 9,616.02

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Solution

The fourth proportional to 20,144.90, 30,217.91 and 9,616.02 is: 14,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.90 : 30,217.91 = 9,616.02 : x
  2. Step 2: Convert to fraction form
    20,144.90/30,217.91 = 9,616.02/x
  3. Step 3: Cross multiply
    20,144.90x = 30,217.91 × 9,616.02
  4. Step 4: Simplify right side
    20,144.90x = 290,575,919.61
  5. Step 5: Solve for x
    x = 290,575,919.61/20,144.90
  6. Step 6: Final answer
    x = 14,424.29

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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.