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Finding the Fourth Proportional to 20,182.08, 30,229.36 and 9,772

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Solution

The fourth proportional to 20,182.08, 30,229.36 and 9,772 is: 14,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.08 : 30,229.36 = 9,772 : x
  2. Step 2: Convert to fraction form
    20,182.08/30,229.36 = 9,772/x
  3. Step 3: Cross multiply
    20,182.08x = 30,229.36 × 9,772
  4. Step 4: Simplify right side
    20,182.08x = 295,401,305.92
  5. Step 5: Solve for x
    x = 295,401,305.92/20,182.08
  6. Step 6: Final answer
    x = 14,636.81

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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.