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Finding the Fourth Proportional to 17,231.41, 25,847.12 and 4,919.41

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Solution

The fourth proportional to 17,231.41, 25,847.12 and 4,919.41 is: 7,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.41 : 25,847.12 = 4,919.41 : x
  2. Step 2: Convert to fraction form
    17,231.41/25,847.12 = 4,919.41/x
  3. Step 3: Cross multiply
    17,231.41x = 25,847.12 × 4,919.41
  4. Step 4: Simplify right side
    17,231.41x = 127,152,580.60
  5. Step 5: Solve for x
    x = 127,152,580.60/17,231.41
  6. Step 6: Final answer
    x = 7,379.12

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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.