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Finding the Fourth Proportional to 20,197.12, 27,872.50 and 11,245.23

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Solution

The fourth proportional to 20,197.12, 27,872.50 and 11,245.23 is: 15,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.12 : 27,872.50 = 11,245.23 : x
  2. Step 2: Convert to fraction form
    20,197.12/27,872.50 = 11,245.23/x
  3. Step 3: Cross multiply
    20,197.12x = 27,872.50 × 11,245.23
  4. Step 4: Simplify right side
    20,197.12x = 313,432,673.18
  5. Step 5: Solve for x
    x = 313,432,673.18/20,197.12
  6. Step 6: Final answer
    x = 15,518.68

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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.