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Finding the Fourth Proportional to 12,456.12, 17,163.48 and 8,470.32

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Solution

The fourth proportional to 12,456.12, 17,163.48 and 8,470.32 is: 11,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.12 : 17,163.48 = 8,470.32 : x
  2. Step 2: Convert to fraction form
    12,456.12/17,163.48 = 8,470.32/x
  3. Step 3: Cross multiply
    12,456.12x = 17,163.48 × 8,470.32
  4. Step 4: Simplify right side
    12,456.12x = 145,380,167.91
  5. Step 5: Solve for x
    x = 145,380,167.91/12,456.12
  6. Step 6: Final answer
    x = 11,671.38

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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.