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Finding the Fourth Proportional to 20,175.24, 27,838.84 and 11,222.86

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Solution

The fourth proportional to 20,175.24, 27,838.84 and 11,222.86 is: 15,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.24 : 27,838.84 = 11,222.86 : x
  2. Step 2: Convert to fraction form
    20,175.24/27,838.84 = 11,222.86/x
  3. Step 3: Cross multiply
    20,175.24x = 27,838.84 × 11,222.86
  4. Step 4: Simplify right side
    20,175.24x = 312,431,403.88
  5. Step 5: Solve for x
    x = 312,431,403.88/20,175.24
  6. Step 6: Final answer
    x = 15,485.88

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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.