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Finding the Fourth Proportional to 19,843.09, 29,743.94 and 6,690.94

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Solution

The fourth proportional to 19,843.09, 29,743.94 and 6,690.94 is: 10,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.09 : 29,743.94 = 6,690.94 : x
  2. Step 2: Convert to fraction form
    19,843.09/29,743.94 = 6,690.94/x
  3. Step 3: Cross multiply
    19,843.09x = 29,743.94 × 6,690.94
  4. Step 4: Simplify right side
    19,843.09x = 199,014,884.45
  5. Step 5: Solve for x
    x = 199,014,884.45/19,843.09
  6. Step 6: Final answer
    x = 10,029.43

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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.