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Finding the Fourth Proportional to 12,584.98, 18,883.82 and 8,910.82

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Solution

The fourth proportional to 12,584.98, 18,883.82 and 8,910.82 is: 13,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.98 : 18,883.82 = 8,910.82 : x
  2. Step 2: Convert to fraction form
    12,584.98/18,883.82 = 8,910.82/x
  3. Step 3: Cross multiply
    12,584.98x = 18,883.82 × 8,910.82
  4. Step 4: Simplify right side
    12,584.98x = 168,270,320.93
  5. Step 5: Solve for x
    x = 168,270,320.93/12,584.98
  6. Step 6: Final answer
    x = 13,370.73

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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.