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Finding the Fourth Proportional to 12,005.26, 18,007.84 and 4,107.80

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Solution

The fourth proportional to 12,005.26, 18,007.84 and 4,107.80 is: 6,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.26 : 18,007.84 = 4,107.80 : x
  2. Step 2: Convert to fraction form
    12,005.26/18,007.84 = 4,107.80/x
  3. Step 3: Cross multiply
    12,005.26x = 18,007.84 × 4,107.80
  4. Step 4: Simplify right side
    12,005.26x = 73,972,615.54
  5. Step 5: Solve for x
    x = 73,972,615.54/12,005.26
  6. Step 6: Final answer
    x = 6,161.68

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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.