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Finding the Fourth Proportional to 21,983.90, 30,337.73 and 11,912.62

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Solution

The fourth proportional to 21,983.90, 30,337.73 and 11,912.62 is: 16,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.90 : 30,337.73 = 11,912.62 : x
  2. Step 2: Convert to fraction form
    21,983.90/30,337.73 = 11,912.62/x
  3. Step 3: Cross multiply
    21,983.90x = 30,337.73 × 11,912.62
  4. Step 4: Simplify right side
    21,983.90x = 361,401,697.46
  5. Step 5: Solve for x
    x = 361,401,697.46/21,983.90
  6. Step 6: Final answer
    x = 16,439.38

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Why These Related Problems?

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