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Finding the Fourth Proportional to 12,189.44, 18,284.16 and 3,424.66

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Solution

The fourth proportional to 12,189.44, 18,284.16 and 3,424.66 is: 5,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.44 : 18,284.16 = 3,424.66 : x
  2. Step 2: Convert to fraction form
    12,189.44/18,284.16 = 3,424.66/x
  3. Step 3: Cross multiply
    12,189.44x = 18,284.16 × 3,424.66
  4. Step 4: Simplify right side
    12,189.44x = 62,616,939.96
  5. Step 5: Solve for x
    x = 62,616,939.96/12,189.44
  6. Step 6: Final answer
    x = 5,136.98

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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.