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Finding the Fourth Proportional to 20,638.80, 30,958.20 and 19,586.99

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Solution

The fourth proportional to 20,638.80, 30,958.20 and 19,586.99 is: 29,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.80 : 30,958.20 = 19,586.99 : x
  2. Step 2: Convert to fraction form
    20,638.80/30,958.20 = 19,586.99/x
  3. Step 3: Cross multiply
    20,638.80x = 30,958.20 × 19,586.99
  4. Step 4: Simplify right side
    20,638.80x = 606,378,031.21
  5. Step 5: Solve for x
    x = 606,378,031.21/20,638.80
  6. Step 6: Final answer
    x = 29,380.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.