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Finding the Fourth Proportional to 12,596.75, 17,379.45 and 8,112.59

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Solution

The fourth proportional to 12,596.75, 17,379.45 and 8,112.59 is: 11,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.75 : 17,379.45 = 8,112.59 : x
  2. Step 2: Convert to fraction form
    12,596.75/17,379.45 = 8,112.59/x
  3. Step 3: Cross multiply
    12,596.75x = 17,379.45 × 8,112.59
  4. Step 4: Simplify right side
    12,596.75x = 140,992,352.28
  5. Step 5: Solve for x
    x = 140,992,352.28/12,596.75
  6. Step 6: Final answer
    x = 11,192.76

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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.