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Finding the Fourth Proportional to 21,634.47, 29,855.52 and 12,202.97

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Solution

The fourth proportional to 21,634.47, 29,855.52 and 12,202.97 is: 16,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.47 : 29,855.52 = 12,202.97 : x
  2. Step 2: Convert to fraction form
    21,634.47/29,855.52 = 12,202.97/x
  3. Step 3: Cross multiply
    21,634.47x = 29,855.52 × 12,202.97
  4. Step 4: Simplify right side
    21,634.47x = 364,325,865.62
  5. Step 5: Solve for x
    x = 364,325,865.62/21,634.47
  6. Step 6: Final answer
    x = 16,840.06

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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.