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Finding the Fourth Proportional to 20,835.80, 28,754.09 and 11,404.36

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Solution

The fourth proportional to 20,835.80, 28,754.09 and 11,404.36 is: 15,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.80 : 28,754.09 = 11,404.36 : x
  2. Step 2: Convert to fraction form
    20,835.80/28,754.09 = 11,404.36/x
  3. Step 3: Cross multiply
    20,835.80x = 28,754.09 × 11,404.36
  4. Step 4: Simplify right side
    20,835.80x = 327,922,015.52
  5. Step 5: Solve for x
    x = 327,922,015.52/20,835.80
  6. Step 6: Final answer
    x = 15,738.39

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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.