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Finding the Fourth Proportional to 19,982.98, 29,974.45 and 5,942.95

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Solution

The fourth proportional to 19,982.98, 29,974.45 and 5,942.95 is: 8,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.98 : 29,974.45 = 5,942.95 : x
  2. Step 2: Convert to fraction form
    19,982.98/29,974.45 = 5,942.95/x
  3. Step 3: Cross multiply
    19,982.98x = 29,974.45 × 5,942.95
  4. Step 4: Simplify right side
    19,982.98x = 178,136,657.63
  5. Step 5: Solve for x
    x = 178,136,657.63/19,982.98
  6. Step 6: Final answer
    x = 8,914.42

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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.