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Finding the Fourth Proportional to 22,404.14, 30,922.38 and 13,452.02

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Solution

The fourth proportional to 22,404.14, 30,922.38 and 13,452.02 is: 18,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404.14 : 30,922.38 = 13,452.02 : x
  2. Step 2: Convert to fraction form
    22,404.14/30,922.38 = 13,452.02/x
  3. Step 3: Cross multiply
    22,404.14x = 30,922.38 × 13,452.02
  4. Step 4: Simplify right side
    22,404.14x = 415,968,474.21
  5. Step 5: Solve for x
    x = 415,968,474.21/22,404.14
  6. Step 6: Final answer
    x = 18,566.59

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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.