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Finding the Fourth Proportional to 20,197.83, 27,874.12 and 11,245.14

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Solution

The fourth proportional to 20,197.83, 27,874.12 and 11,245.14 is: 15,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.83 : 27,874.12 = 11,245.14 : x
  2. Step 2: Convert to fraction form
    20,197.83/27,874.12 = 11,245.14/x
  3. Step 3: Cross multiply
    20,197.83x = 27,874.12 × 11,245.14
  4. Step 4: Simplify right side
    20,197.83x = 313,448,381.78
  5. Step 5: Solve for x
    x = 313,448,381.78/20,197.83
  6. Step 6: Final answer
    x = 15,518.91

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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.