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Finding the Fourth Proportional to 19,893.52, 29,841.09 and 8,205.63

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Solution

The fourth proportional to 19,893.52, 29,841.09 and 8,205.63 is: 12,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.52 : 29,841.09 = 8,205.63 : x
  2. Step 2: Convert to fraction form
    19,893.52/29,841.09 = 8,205.63/x
  3. Step 3: Cross multiply
    19,893.52x = 29,841.09 × 8,205.63
  4. Step 4: Simplify right side
    19,893.52x = 244,864,943.34
  5. Step 5: Solve for x
    x = 244,864,943.34/19,893.52
  6. Step 6: Final answer
    x = 12,308.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.