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Finding the Fourth Proportional to 13,796.46, 20,692.98 and 3,936.60

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Solution

The fourth proportional to 13,796.46, 20,692.98 and 3,936.60 is: 5,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.46 : 20,692.98 = 3,936.60 : x
  2. Step 2: Convert to fraction form
    13,796.46/20,692.98 = 3,936.60/x
  3. Step 3: Cross multiply
    13,796.46x = 20,692.98 × 3,936.60
  4. Step 4: Simplify right side
    13,796.46x = 81,459,985.07
  5. Step 5: Solve for x
    x = 81,459,985.07/13,796.46
  6. Step 6: Final answer
    x = 5,904.41

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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.