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Finding the Fourth Proportional to 19,889.36, 29,847.78 and 8,202.62

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Solution

The fourth proportional to 19,889.36, 29,847.78 and 8,202.62 is: 12,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.36 : 29,847.78 = 8,202.62 : x
  2. Step 2: Convert to fraction form
    19,889.36/29,847.78 = 8,202.62/x
  3. Step 3: Cross multiply
    19,889.36x = 29,847.78 × 8,202.62
  4. Step 4: Simplify right side
    19,889.36x = 244,829,997.18
  5. Step 5: Solve for x
    x = 244,829,997.18/19,889.36
  6. Step 6: Final answer
    x = 12,309.60

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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.