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Finding the Fourth Proportional to 12,005, 18,007.44 and 3,240.80

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Solution

The fourth proportional to 12,005, 18,007.44 and 3,240.80 is: 4,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 18,007.44 = 3,240.80 : x
  2. Step 2: Convert to fraction form
    12,005/18,007.44 = 3,240.80/x
  3. Step 3: Cross multiply
    12,005x = 18,007.44 × 3,240.80
  4. Step 4: Simplify right side
    12,005x = 58,358,511.55
  5. Step 5: Solve for x
    x = 58,358,511.55/12,005
  6. Step 6: Final answer
    x = 4,861.18

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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.