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Finding the Fourth Proportional to 21,096.12, 31,648.98 and 11,230.20

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Solution

The fourth proportional to 21,096.12, 31,648.98 and 11,230.20 is: 16,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.12 : 31,648.98 = 11,230.20 : x
  2. Step 2: Convert to fraction form
    21,096.12/31,648.98 = 11,230.20/x
  3. Step 3: Cross multiply
    21,096.12x = 31,648.98 × 11,230.20
  4. Step 4: Simplify right side
    21,096.12x = 355,424,375.20
  5. Step 5: Solve for x
    x = 355,424,375.20/21,096.12
  6. Step 6: Final answer
    x = 16,847.86

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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.