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Finding the Fourth Proportional to 19,843.22, 29,765.44 and 9,982.88

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Solution

The fourth proportional to 19,843.22, 29,765.44 and 9,982.88 is: 14,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.22 : 29,765.44 = 9,982.88 : x
  2. Step 2: Convert to fraction form
    19,843.22/29,765.44 = 9,982.88/x
  3. Step 3: Cross multiply
    19,843.22x = 29,765.44 × 9,982.88
  4. Step 4: Simplify right side
    19,843.22x = 297,144,815.67
  5. Step 5: Solve for x
    x = 297,144,815.67/19,843.22
  6. Step 6: Final answer
    x = 14,974.63

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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.