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Finding the Fourth Proportional to 19,893.78, 29,822.07 and 6,736.95

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Solution

The fourth proportional to 19,893.78, 29,822.07 and 6,736.95 is: 10,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.78 : 29,822.07 = 6,736.95 : x
  2. Step 2: Convert to fraction form
    19,893.78/29,822.07 = 6,736.95/x
  3. Step 3: Cross multiply
    19,893.78x = 29,822.07 × 6,736.95
  4. Step 4: Simplify right side
    19,893.78x = 200,909,794.49
  5. Step 5: Solve for x
    x = 200,909,794.49/19,893.78
  6. Step 6: Final answer
    x = 10,099.13

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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.