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Finding the Fourth Proportional to 21,096.98, 31,617.78 and 15,524.23

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Solution

The fourth proportional to 21,096.98, 31,617.78 and 15,524.23 is: 23,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.98 : 31,617.78 = 15,524.23 : x
  2. Step 2: Convert to fraction form
    21,096.98/31,617.78 = 15,524.23/x
  3. Step 3: Cross multiply
    21,096.98x = 31,617.78 × 15,524.23
  4. Step 4: Simplify right side
    21,096.98x = 490,841,530.72
  5. Step 5: Solve for x
    x = 490,841,530.72/21,096.98
  6. Step 6: Final answer
    x = 23,265.97

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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.