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Finding the Fourth Proportional to 20,178.64, 27,846.14 and 11,226.12

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Solution

The fourth proportional to 20,178.64, 27,846.14 and 11,226.12 is: 15,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.64 : 27,846.14 = 11,226.12 : x
  2. Step 2: Convert to fraction form
    20,178.64/27,846.14 = 11,226.12/x
  3. Step 3: Cross multiply
    20,178.64x = 27,846.14 × 11,226.12
  4. Step 4: Simplify right side
    20,178.64x = 312,604,109.18
  5. Step 5: Solve for x
    x = 312,604,109.18/20,178.64
  6. Step 6: Final answer
    x = 15,491.83

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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.