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Finding the Fourth Proportional to 12,377.16, 17,078.04 and 7,596.54

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Solution

The fourth proportional to 12,377.16, 17,078.04 and 7,596.54 is: 10,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.16 : 17,078.04 = 7,596.54 : x
  2. Step 2: Convert to fraction form
    12,377.16/17,078.04 = 7,596.54/x
  3. Step 3: Cross multiply
    12,377.16x = 17,078.04 × 7,596.54
  4. Step 4: Simplify right side
    12,377.16x = 129,734,013.98
  5. Step 5: Solve for x
    x = 129,734,013.98/12,377.16
  6. Step 6: Final answer
    x = 10,481.73

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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.