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Finding the Fourth Proportional to 20,191.35, 27,857.70 and 14,226.30

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Solution

The fourth proportional to 20,191.35, 27,857.70 and 14,226.30 is: 19,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.35 : 27,857.70 = 14,226.30 : x
  2. Step 2: Convert to fraction form
    20,191.35/27,857.70 = 14,226.30/x
  3. Step 3: Cross multiply
    20,191.35x = 27,857.70 × 14,226.30
  4. Step 4: Simplify right side
    20,191.35x = 396,311,997.51
  5. Step 5: Solve for x
    x = 396,311,997.51/20,191.35
  6. Step 6: Final answer
    x = 19,627.81

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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.