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Finding the Fourth Proportional to 19,771.83, 29,663.82 and 8,085.96

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Solution

The fourth proportional to 19,771.83, 29,663.82 and 8,085.96 is: 12,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.83 : 29,663.82 = 8,085.96 : x
  2. Step 2: Convert to fraction form
    19,771.83/29,663.82 = 8,085.96/x
  3. Step 3: Cross multiply
    19,771.83x = 29,663.82 × 8,085.96
  4. Step 4: Simplify right side
    19,771.83x = 239,860,461.97
  5. Step 5: Solve for x
    x = 239,860,461.97/19,771.83
  6. Step 6: Final answer
    x = 12,131.42

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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.