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Finding the Fourth Proportional to 12,469.85, 17,196.38 and 8,390.84

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Solution

The fourth proportional to 12,469.85, 17,196.38 and 8,390.84 is: 11,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.85 : 17,196.38 = 8,390.84 : x
  2. Step 2: Convert to fraction form
    12,469.85/17,196.38 = 8,390.84/x
  3. Step 3: Cross multiply
    12,469.85x = 17,196.38 × 8,390.84
  4. Step 4: Simplify right side
    12,469.85x = 144,291,945.22
  5. Step 5: Solve for x
    x = 144,291,945.22/12,469.85
  6. Step 6: Final answer
    x = 11,571.27

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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.