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Finding the Fourth Proportional to 20,197.50, 27,874.71 and 11,821.02

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Solution

The fourth proportional to 20,197.50, 27,874.71 and 11,821.02 is: 16,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.50 : 27,874.71 = 11,821.02 : x
  2. Step 2: Convert to fraction form
    20,197.50/27,874.71 = 11,821.02/x
  3. Step 3: Cross multiply
    20,197.50x = 27,874.71 × 11,821.02
  4. Step 4: Simplify right side
    20,197.50x = 329,507,504.40
  5. Step 5: Solve for x
    x = 329,507,504.40/20,197.50
  6. Step 6: Final answer
    x = 16,314.27

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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.