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Finding the Fourth Proportional to 20,770.38, 28,662.75 and 11,338.92

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Solution

The fourth proportional to 20,770.38, 28,662.75 and 11,338.92 is: 15,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.38 : 28,662.75 = 11,338.92 : x
  2. Step 2: Convert to fraction form
    20,770.38/28,662.75 = 11,338.92/x
  3. Step 3: Cross multiply
    20,770.38x = 28,662.75 × 11,338.92
  4. Step 4: Simplify right side
    20,770.38x = 325,004,629.23
  5. Step 5: Solve for x
    x = 325,004,629.23/20,770.38
  6. Step 6: Final answer
    x = 15,647.51

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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.