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Finding the Fourth Proportional to 20,095.38, 27,729.72 and 11,142.11

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Solution

The fourth proportional to 20,095.38, 27,729.72 and 11,142.11 is: 15,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.38 : 27,729.72 = 11,142.11 : x
  2. Step 2: Convert to fraction form
    20,095.38/27,729.72 = 11,142.11/x
  3. Step 3: Cross multiply
    20,095.38x = 27,729.72 × 11,142.11
  4. Step 4: Simplify right side
    20,095.38x = 308,967,451.86
  5. Step 5: Solve for x
    x = 308,967,451.86/20,095.38
  6. Step 6: Final answer
    x = 15,375.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.