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Finding the Fourth Proportional to 19,991.62, 29,954.61 and 6,836.82

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Solution

The fourth proportional to 19,991.62, 29,954.61 and 6,836.82 is: 10,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.62 : 29,954.61 = 6,836.82 : x
  2. Step 2: Convert to fraction form
    19,991.62/29,954.61 = 6,836.82/x
  3. Step 3: Cross multiply
    19,991.62x = 29,954.61 × 6,836.82
  4. Step 4: Simplify right side
    19,991.62x = 204,794,164.41
  5. Step 5: Solve for x
    x = 204,794,164.41/19,991.62
  6. Step 6: Final answer
    x = 10,244.00

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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.