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Finding the Fourth Proportional to 43,634.10, 65,451.16 and 12,469.34

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Solution

The fourth proportional to 43,634.10, 65,451.16 and 12,469.34 is: 18,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634.10 : 65,451.16 = 12,469.34 : x
  2. Step 2: Convert to fraction form
    43,634.10/65,451.16 = 12,469.34/x
  3. Step 3: Cross multiply
    43,634.10x = 65,451.16 × 12,469.34
  4. Step 4: Simplify right side
    43,634.10x = 816,132,767.43
  5. Step 5: Solve for x
    x = 816,132,767.43/43,634.10
  6. Step 6: Final answer
    x = 18,704.01

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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.