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Finding the Fourth Proportional to 17,212.56, 25,821 and 5,522.64

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Solution

The fourth proportional to 17,212.56, 25,821 and 5,522.64 is: 8,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.56 : 25,821 = 5,522.64 : x
  2. Step 2: Convert to fraction form
    17,212.56/25,821 = 5,522.64/x
  3. Step 3: Cross multiply
    17,212.56x = 25,821 × 5,522.64
  4. Step 4: Simplify right side
    17,212.56x = 142,600,087.44
  5. Step 5: Solve for x
    x = 142,600,087.44/17,212.56
  6. Step 6: Final answer
    x = 8,284.65

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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.