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Finding the Fourth Proportional to 19,858.29, 29,778.69 and 9,331.29

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Solution

The fourth proportional to 19,858.29, 29,778.69 and 9,331.29 is: 13,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.29 : 29,778.69 = 9,331.29 : x
  2. Step 2: Convert to fraction form
    19,858.29/29,778.69 = 9,331.29/x
  3. Step 3: Cross multiply
    19,858.29x = 29,778.69 × 9,331.29
  4. Step 4: Simplify right side
    19,858.29x = 277,873,592.21
  5. Step 5: Solve for x
    x = 277,873,592.21/19,858.29
  6. Step 6: Final answer
    x = 13,992.83

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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.