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Finding the Fourth Proportional to 12,640.66, 18,960.95 and 3,406.66

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Solution

The fourth proportional to 12,640.66, 18,960.95 and 3,406.66 is: 5,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.66 : 18,960.95 = 3,406.66 : x
  2. Step 2: Convert to fraction form
    12,640.66/18,960.95 = 3,406.66/x
  3. Step 3: Cross multiply
    12,640.66x = 18,960.95 × 3,406.66
  4. Step 4: Simplify right side
    12,640.66x = 64,593,471.04
  5. Step 5: Solve for x
    x = 64,593,471.04/12,640.66
  6. Step 6: Final answer
    x = 5,109.98

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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.