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Finding the Fourth Proportional to 20,179.60, 27,846.36 and 11,226.88

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Solution

The fourth proportional to 20,179.60, 27,846.36 and 11,226.88 is: 15,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.60 : 27,846.36 = 11,226.88 : x
  2. Step 2: Convert to fraction form
    20,179.60/27,846.36 = 11,226.88/x
  3. Step 3: Cross multiply
    20,179.60x = 27,846.36 × 11,226.88
  4. Step 4: Simplify right side
    20,179.60x = 312,627,742.16
  5. Step 5: Solve for x
    x = 312,627,742.16/20,179.60
  6. Step 6: Final answer
    x = 15,492.27

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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.