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Finding the Fourth Proportional to 21,469.82, 29,600.97 and 13,902.80

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Solution

The fourth proportional to 21,469.82, 29,600.97 and 13,902.80 is: 19,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.82 : 29,600.97 = 13,902.80 : x
  2. Step 2: Convert to fraction form
    21,469.82/29,600.97 = 13,902.80/x
  3. Step 3: Cross multiply
    21,469.82x = 29,600.97 × 13,902.80
  4. Step 4: Simplify right side
    21,469.82x = 411,536,365.72
  5. Step 5: Solve for x
    x = 411,536,365.72/21,469.82
  6. Step 6: Final answer
    x = 19,168.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.