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Finding the Fourth Proportional to 19,792.83, 29,663.85 and 8,092.11

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Solution

The fourth proportional to 19,792.83, 29,663.85 and 8,092.11 is: 12,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.83 : 29,663.85 = 8,092.11 : x
  2. Step 2: Convert to fraction form
    19,792.83/29,663.85 = 8,092.11/x
  3. Step 3: Cross multiply
    19,792.83x = 29,663.85 × 8,092.11
  4. Step 4: Simplify right side
    19,792.83x = 240,043,137.22
  5. Step 5: Solve for x
    x = 240,043,137.22/19,792.83
  6. Step 6: Final answer
    x = 12,127.78

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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.