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Finding the Fourth Proportional to 20,151.38, 27,807.36 and 11,198.72

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Solution

The fourth proportional to 20,151.38, 27,807.36 and 11,198.72 is: 15,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.38 : 27,807.36 = 11,198.72 : x
  2. Step 2: Convert to fraction form
    20,151.38/27,807.36 = 11,198.72/x
  3. Step 3: Cross multiply
    20,151.38x = 27,807.36 × 11,198.72
  4. Step 4: Simplify right side
    20,151.38x = 311,406,838.58
  5. Step 5: Solve for x
    x = 311,406,838.58/20,151.38
  6. Step 6: Final answer
    x = 15,453.38

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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.