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Finding the Fourth Proportional to 21,272.90, 31,912.26 and 7,229.15

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Solution

The fourth proportional to 21,272.90, 31,912.26 and 7,229.15 is: 10,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.90 : 31,912.26 = 7,229.15 : x
  2. Step 2: Convert to fraction form
    21,272.90/31,912.26 = 7,229.15/x
  3. Step 3: Cross multiply
    21,272.90x = 31,912.26 × 7,229.15
  4. Step 4: Simplify right side
    21,272.90x = 230,698,514.38
  5. Step 5: Solve for x
    x = 230,698,514.38/21,272.90
  6. Step 6: Final answer
    x = 10,844.71

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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.