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Finding the Fourth Proportional to 22,584.42, 33,874.20 and 13,804.02

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Solution

The fourth proportional to 22,584.42, 33,874.20 and 13,804.02 is: 20,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.42 : 33,874.20 = 13,804.02 : x
  2. Step 2: Convert to fraction form
    22,584.42/33,874.20 = 13,804.02/x
  3. Step 3: Cross multiply
    22,584.42x = 33,874.20 × 13,804.02
  4. Step 4: Simplify right side
    22,584.42x = 467,600,134.28
  5. Step 5: Solve for x
    x = 467,600,134.28/22,584.42
  6. Step 6: Final answer
    x = 20,704.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.