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Finding the Fourth Proportional to 21,983.50, 30,337.23 and 11,912

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Solution

The fourth proportional to 21,983.50, 30,337.23 and 11,912 is: 16,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.50 : 30,337.23 = 11,912 : x
  2. Step 2: Convert to fraction form
    21,983.50/30,337.23 = 11,912/x
  3. Step 3: Cross multiply
    21,983.50x = 30,337.23 × 11,912
  4. Step 4: Simplify right side
    21,983.50x = 361,377,083.76
  5. Step 5: Solve for x
    x = 361,377,083.76/21,983.50
  6. Step 6: Final answer
    x = 16,438.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.