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Finding the Fourth Proportional to 21,096.24, 31,638.07 and 7,945.48

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Solution

The fourth proportional to 21,096.24, 31,638.07 and 7,945.48 is: 11,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.24 : 31,638.07 = 7,945.48 : x
  2. Step 2: Convert to fraction form
    21,096.24/31,638.07 = 7,945.48/x
  3. Step 3: Cross multiply
    21,096.24x = 31,638.07 × 7,945.48
  4. Step 4: Simplify right side
    21,096.24x = 251,379,652.42
  5. Step 5: Solve for x
    x = 251,379,652.42/21,096.24
  6. Step 6: Final answer
    x = 11,915.85

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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.