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Finding the Fourth Proportional to 20,196.12, 27,870.84 and 11,811

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Solution

The fourth proportional to 20,196.12, 27,870.84 and 11,811 is: 16,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.12 : 27,870.84 = 11,811 : x
  2. Step 2: Convert to fraction form
    20,196.12/27,870.84 = 11,811/x
  3. Step 3: Cross multiply
    20,196.12x = 27,870.84 × 11,811
  4. Step 4: Simplify right side
    20,196.12x = 329,182,491.24
  5. Step 5: Solve for x
    x = 329,182,491.24/20,196.12
  6. Step 6: Final answer
    x = 16,299.29

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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.