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Finding the Fourth Proportional to 20,180.64, 27,844.92 and 12,223.20

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Solution

The fourth proportional to 20,180.64, 27,844.92 and 12,223.20 is: 16,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.64 : 27,844.92 = 12,223.20 : x
  2. Step 2: Convert to fraction form
    20,180.64/27,844.92 = 12,223.20/x
  3. Step 3: Cross multiply
    20,180.64x = 27,844.92 × 12,223.20
  4. Step 4: Simplify right side
    20,180.64x = 340,354,026.14
  5. Step 5: Solve for x
    x = 340,354,026.14/20,180.64
  6. Step 6: Final answer
    x = 16,865.37

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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.