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Finding the Fourth Proportional to 20,843.88, 28,764.38 and 11,283.57

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Solution

The fourth proportional to 20,843.88, 28,764.38 and 11,283.57 is: 15,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.88 : 28,764.38 = 11,283.57 : x
  2. Step 2: Convert to fraction form
    20,843.88/28,764.38 = 11,283.57/x
  3. Step 3: Cross multiply
    20,843.88x = 28,764.38 × 11,283.57
  4. Step 4: Simplify right side
    20,843.88x = 324,564,695.00
  5. Step 5: Solve for x
    x = 324,564,695.00/20,843.88
  6. Step 6: Final answer
    x = 15,571.23

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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.