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Finding the Fourth Proportional to 18,692.94, 27,982.16 and 12,106.02

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Solution

The fourth proportional to 18,692.94, 27,982.16 and 12,106.02 is: 18,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,692.94 : 27,982.16 = 12,106.02 : x
  2. Step 2: Convert to fraction form
    18,692.94/27,982.16 = 12,106.02/x
  3. Step 3: Cross multiply
    18,692.94x = 27,982.16 × 12,106.02
  4. Step 4: Simplify right side
    18,692.94x = 338,752,588.60
  5. Step 5: Solve for x
    x = 338,752,588.60/18,692.94
  6. Step 6: Final answer
    x = 18,121.95

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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.