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Finding the Fourth Proportional to 12,751.50, 17,596.69 and 7,086.23

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Solution

The fourth proportional to 12,751.50, 17,596.69 and 7,086.23 is: 9,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.50 : 17,596.69 = 7,086.23 : x
  2. Step 2: Convert to fraction form
    12,751.50/17,596.69 = 7,086.23/x
  3. Step 3: Cross multiply
    12,751.50x = 17,596.69 × 7,086.23
  4. Step 4: Simplify right side
    12,751.50x = 124,694,192.58
  5. Step 5: Solve for x
    x = 124,694,192.58/12,751.50
  6. Step 6: Final answer
    x = 9,778.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.