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Finding the Fourth Proportional to 21,940.52, 32,869.44 and 10,834.20

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Solution

The fourth proportional to 21,940.52, 32,869.44 and 10,834.20 is: 16,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.52 : 32,869.44 = 10,834.20 : x
  2. Step 2: Convert to fraction form
    21,940.52/32,869.44 = 10,834.20/x
  3. Step 3: Cross multiply
    21,940.52x = 32,869.44 × 10,834.20
  4. Step 4: Simplify right side
    21,940.52x = 356,114,086.85
  5. Step 5: Solve for x
    x = 356,114,086.85/21,940.52
  6. Step 6: Final answer
    x = 16,230.89

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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.