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Finding the Fourth Proportional to 12,463.94, 18,692.70 and 3,696.80

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Solution

The fourth proportional to 12,463.94, 18,692.70 and 3,696.80 is: 5,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.94 : 18,692.70 = 3,696.80 : x
  2. Step 2: Convert to fraction form
    12,463.94/18,692.70 = 3,696.80/x
  3. Step 3: Cross multiply
    12,463.94x = 18,692.70 × 3,696.80
  4. Step 4: Simplify right side
    12,463.94x = 69,103,079.90
  5. Step 5: Solve for x
    x = 69,103,079.90/12,463.94
  6. Step 6: Final answer
    x = 5,544.24

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Why These Related Problems?

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