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Finding the Fourth Proportional to 19,778.78, 29,684.38 and 8,092.10

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Solution

The fourth proportional to 19,778.78, 29,684.38 and 8,092.10 is: 12,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.78 : 29,684.38 = 8,092.10 : x
  2. Step 2: Convert to fraction form
    19,778.78/29,684.38 = 8,092.10/x
  3. Step 3: Cross multiply
    19,778.78x = 29,684.38 × 8,092.10
  4. Step 4: Simplify right side
    19,778.78x = 240,208,971.40
  5. Step 5: Solve for x
    x = 240,208,971.40/19,778.78
  6. Step 6: Final answer
    x = 12,144.78

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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.