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Finding the Fourth Proportional to 20,020.12, 27,630.30 and 11,635

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Solution

The fourth proportional to 20,020.12, 27,630.30 and 11,635 is: 16,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020.12 : 27,630.30 = 11,635 : x
  2. Step 2: Convert to fraction form
    20,020.12/27,630.30 = 11,635/x
  3. Step 3: Cross multiply
    20,020.12x = 27,630.30 × 11,635
  4. Step 4: Simplify right side
    20,020.12x = 321,478,540.50
  5. Step 5: Solve for x
    x = 321,478,540.50/20,020.12
  6. Step 6: Final answer
    x = 16,057.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.