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Finding the Fourth Proportional to 19,893.48, 29,844 and 5,853.48

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Solution

The fourth proportional to 19,893.48, 29,844 and 5,853.48 is: 8,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.48 : 29,844 = 5,853.48 : x
  2. Step 2: Convert to fraction form
    19,893.48/29,844 = 5,853.48/x
  3. Step 3: Cross multiply
    19,893.48x = 29,844 × 5,853.48
  4. Step 4: Simplify right side
    19,893.48x = 174,691,257.12
  5. Step 5: Solve for x
    x = 174,691,257.12/19,893.48
  6. Step 6: Final answer
    x = 8,781.33

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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.