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Finding the Fourth Proportional to 20,141.80, 27,796.92 and 11,189.38

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Solution

The fourth proportional to 20,141.80, 27,796.92 and 11,189.38 is: 15,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.80 : 27,796.92 = 11,189.38 : x
  2. Step 2: Convert to fraction form
    20,141.80/27,796.92 = 11,189.38/x
  3. Step 3: Cross multiply
    20,141.80x = 27,796.92 × 11,189.38
  4. Step 4: Simplify right side
    20,141.80x = 311,030,300.71
  5. Step 5: Solve for x
    x = 311,030,300.71/20,141.80
  6. Step 6: Final answer
    x = 15,442.03

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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.