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Finding the Fourth Proportional to 21,996.30, 32,982.30 and 9,514.20

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Solution

The fourth proportional to 21,996.30, 32,982.30 and 9,514.20 is: 14,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.30 : 32,982.30 = 9,514.20 : x
  2. Step 2: Convert to fraction form
    21,996.30/32,982.30 = 9,514.20/x
  3. Step 3: Cross multiply
    21,996.30x = 32,982.30 × 9,514.20
  4. Step 4: Simplify right side
    21,996.30x = 313,800,198.66
  5. Step 5: Solve for x
    x = 313,800,198.66/21,996.30
  6. Step 6: Final answer
    x = 14,266.04

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1.5x scale

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.