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Finding the Fourth Proportional to 19,912, 29,861.90 and 6,761.44

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Solution

The fourth proportional to 19,912, 29,861.90 and 6,761.44 is: 10,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912 : 29,861.90 = 6,761.44 : x
  2. Step 2: Convert to fraction form
    19,912/29,861.90 = 6,761.44/x
  3. Step 3: Cross multiply
    19,912x = 29,861.90 × 6,761.44
  4. Step 4: Simplify right side
    19,912x = 201,909,445.14
  5. Step 5: Solve for x
    x = 201,909,445.14/19,912
  6. Step 6: Final answer
    x = 10,140.09

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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.