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Finding the Fourth Proportional to 12,751.92, 17,596.35 and 7,449.82

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Solution

The fourth proportional to 12,751.92, 17,596.35 and 7,449.82 is: 10,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.92 : 17,596.35 = 7,449.82 : x
  2. Step 2: Convert to fraction form
    12,751.92/17,596.35 = 7,449.82/x
  3. Step 3: Cross multiply
    12,751.92x = 17,596.35 × 7,449.82
  4. Step 4: Simplify right side
    12,751.92x = 131,089,640.16
  5. Step 5: Solve for x
    x = 131,089,640.16/12,751.92
  6. Step 6: Final answer
    x = 10,279.99

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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.