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Finding the Fourth Proportional to 17,198.46, 25,794.99 and 4,719.42

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Solution

The fourth proportional to 17,198.46, 25,794.99 and 4,719.42 is: 7,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.46 : 25,794.99 = 4,719.42 : x
  2. Step 2: Convert to fraction form
    17,198.46/25,794.99 = 4,719.42/x
  3. Step 3: Cross multiply
    17,198.46x = 25,794.99 × 4,719.42
  4. Step 4: Simplify right side
    17,198.46x = 121,737,391.71
  5. Step 5: Solve for x
    x = 121,737,391.71/17,198.46
  6. Step 6: Final answer
    x = 7,078.39

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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.