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Finding the Fourth Proportional to 12,976.26, 17,915.79 and 9,986.82

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Solution

The fourth proportional to 12,976.26, 17,915.79 and 9,986.82 is: 13,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.26 : 17,915.79 = 9,986.82 : x
  2. Step 2: Convert to fraction form
    12,976.26/17,915.79 = 9,986.82/x
  3. Step 3: Cross multiply
    12,976.26x = 17,915.79 × 9,986.82
  4. Step 4: Simplify right side
    12,976.26x = 178,921,769.89
  5. Step 5: Solve for x
    x = 178,921,769.89/12,976.26
  6. Step 6: Final answer
    x = 13,788.39

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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.