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Finding the Fourth Proportional to 13,649.42, 20,474.06 and 11,794.90

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Solution

The fourth proportional to 13,649.42, 20,474.06 and 11,794.90 is: 17,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.42 : 20,474.06 = 11,794.90 : x
  2. Step 2: Convert to fraction form
    13,649.42/20,474.06 = 11,794.90/x
  3. Step 3: Cross multiply
    13,649.42x = 20,474.06 × 11,794.90
  4. Step 4: Simplify right side
    13,649.42x = 241,489,490.29
  5. Step 5: Solve for x
    x = 241,489,490.29/13,649.42
  6. Step 6: Final answer
    x = 17,692.29

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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.