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Finding the Fourth Proportional to 19,984.24, 29,989.72 and 8,297.44

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Solution

The fourth proportional to 19,984.24, 29,989.72 and 8,297.44 is: 12,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.24 : 29,989.72 = 8,297.44 : x
  2. Step 2: Convert to fraction form
    19,984.24/29,989.72 = 8,297.44/x
  3. Step 3: Cross multiply
    19,984.24x = 29,989.72 × 8,297.44
  4. Step 4: Simplify right side
    19,984.24x = 248,837,902.32
  5. Step 5: Solve for x
    x = 248,837,902.32/19,984.24
  6. Step 6: Final answer
    x = 12,451.71

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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.