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Finding the Fourth Proportional to 20,601, 28,429.38 and 11,169.56

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Solution

The fourth proportional to 20,601, 28,429.38 and 11,169.56 is: 15,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601 : 28,429.38 = 11,169.56 : x
  2. Step 2: Convert to fraction form
    20,601/28,429.38 = 11,169.56/x
  3. Step 3: Cross multiply
    20,601x = 28,429.38 × 11,169.56
  4. Step 4: Simplify right side
    20,601x = 317,543,736.75
  5. Step 5: Solve for x
    x = 317,543,736.75/20,601
  6. Step 6: Final answer
    x = 15,414.00

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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.