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Finding the Fourth Proportional to 20,744.38, 28,629.40 and 12,786.40

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Solution

The fourth proportional to 20,744.38, 28,629.40 and 12,786.40 is: 17,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.38 : 28,629.40 = 12,786.40 : x
  2. Step 2: Convert to fraction form
    20,744.38/28,629.40 = 12,786.40/x
  3. Step 3: Cross multiply
    20,744.38x = 28,629.40 × 12,786.40
  4. Step 4: Simplify right side
    20,744.38x = 366,066,817.01
  5. Step 5: Solve for x
    x = 366,066,817.01/20,744.38
  6. Step 6: Final answer
    x = 17,646.56

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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.