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Finding the Fourth Proportional to 12,601.86, 17,394.39 and 7,297.98

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Solution

The fourth proportional to 12,601.86, 17,394.39 and 7,297.98 is: 10,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.86 : 17,394.39 = 7,297.98 : x
  2. Step 2: Convert to fraction form
    12,601.86/17,394.39 = 7,297.98/x
  3. Step 3: Cross multiply
    12,601.86x = 17,394.39 × 7,297.98
  4. Step 4: Simplify right side
    12,601.86x = 126,943,910.33
  5. Step 5: Solve for x
    x = 126,943,910.33/12,601.86
  6. Step 6: Final answer
    x = 10,073.43

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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.