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Finding the Fourth Proportional to 20,180.84, 27,847.14 and 11,226.08

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Solution

The fourth proportional to 20,180.84, 27,847.14 and 11,226.08 is: 15,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.84 : 27,847.14 = 11,226.08 : x
  2. Step 2: Convert to fraction form
    20,180.84/27,847.14 = 11,226.08/x
  3. Step 3: Cross multiply
    20,180.84x = 27,847.14 × 11,226.08
  4. Step 4: Simplify right side
    20,180.84x = 312,614,221.41
  5. Step 5: Solve for x
    x = 312,614,221.41/20,180.84
  6. Step 6: Final answer
    x = 15,490.64

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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.