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Finding the Fourth Proportional to 19,832.45, 29,777.83 and 8,168.45

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Solution

The fourth proportional to 19,832.45, 29,777.83 and 8,168.45 is: 12,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.45 : 29,777.83 = 8,168.45 : x
  2. Step 2: Convert to fraction form
    19,832.45/29,777.83 = 8,168.45/x
  3. Step 3: Cross multiply
    19,832.45x = 29,777.83 × 8,168.45
  4. Step 4: Simplify right side
    19,832.45x = 243,238,546.15
  5. Step 5: Solve for x
    x = 243,238,546.15/19,832.45
  6. Step 6: Final answer
    x = 12,264.68

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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.