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Finding the Fourth Proportional to 19,850.49, 29,768.22 and 8,000.25

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Solution

The fourth proportional to 19,850.49, 29,768.22 and 8,000.25 is: 11,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.49 : 29,768.22 = 8,000.25 : x
  2. Step 2: Convert to fraction form
    19,850.49/29,768.22 = 8,000.25/x
  3. Step 3: Cross multiply
    19,850.49x = 29,768.22 × 8,000.25
  4. Step 4: Simplify right side
    19,850.49x = 238,153,202.06
  5. Step 5: Solve for x
    x = 238,153,202.06/19,850.49
  6. Step 6: Final answer
    x = 11,997.35

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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.