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Finding the Fourth Proportional to 12,604.92, 18,866.97 and 8,378.47

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Solution

The fourth proportional to 12,604.92, 18,866.97 and 8,378.47 is: 12,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.92 : 18,866.97 = 8,378.47 : x
  2. Step 2: Convert to fraction form
    12,604.92/18,866.97 = 8,378.47/x
  3. Step 3: Cross multiply
    12,604.92x = 18,866.97 × 8,378.47
  4. Step 4: Simplify right side
    12,604.92x = 158,076,342.14
  5. Step 5: Solve for x
    x = 158,076,342.14/12,604.92
  6. Step 6: Final answer
    x = 12,540.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.