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Finding the Fourth Proportional to 21,104.21, 31,648.12 and 7,949.41

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Solution

The fourth proportional to 21,104.21, 31,648.12 and 7,949.41 is: 11,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.21 : 31,648.12 = 7,949.41 : x
  2. Step 2: Convert to fraction form
    21,104.21/31,648.12 = 7,949.41/x
  3. Step 3: Cross multiply
    21,104.21x = 31,648.12 × 7,949.41
  4. Step 4: Simplify right side
    21,104.21x = 251,583,782.62
  5. Step 5: Solve for x
    x = 251,583,782.62/21,104.21
  6. Step 6: Final answer
    x = 11,921.02

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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.