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Finding the Fourth Proportional to 21,222.14, 31,838.54 and 8,067.33

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Solution

The fourth proportional to 21,222.14, 31,838.54 and 8,067.33 is: 12,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.14 : 31,838.54 = 8,067.33 : x
  2. Step 2: Convert to fraction form
    21,222.14/31,838.54 = 8,067.33/x
  3. Step 3: Cross multiply
    21,222.14x = 31,838.54 × 8,067.33
  4. Step 4: Simplify right side
    21,222.14x = 256,851,968.56
  5. Step 5: Solve for x
    x = 256,851,968.56/21,222.14
  6. Step 6: Final answer
    x = 12,103.02

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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.