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Finding the Fourth Proportional to 19,893.77, 29,822.00 and 6,736.94

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Solution

The fourth proportional to 19,893.77, 29,822.00 and 6,736.94 is: 10,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.77 : 29,822.00 = 6,736.94 : x
  2. Step 2: Convert to fraction form
    19,893.77/29,822.00 = 6,736.94/x
  3. Step 3: Cross multiply
    19,893.77x = 29,822.00 × 6,736.94
  4. Step 4: Simplify right side
    19,893.77x = 200,908,841.89
  5. Step 5: Solve for x
    x = 200,908,841.89/19,893.77
  6. Step 6: Final answer
    x = 10,099.09

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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.