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Finding the Fourth Proportional to 12,189.08, 18,283.71 and 3,424.16

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Solution

The fourth proportional to 12,189.08, 18,283.71 and 3,424.16 is: 5,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.08 : 18,283.71 = 3,424.16 : x
  2. Step 2: Convert to fraction form
    12,189.08/18,283.71 = 3,424.16/x
  3. Step 3: Cross multiply
    12,189.08x = 18,283.71 × 3,424.16
  4. Step 4: Simplify right side
    12,189.08x = 62,606,348.43
  5. Step 5: Solve for x
    x = 62,606,348.43/12,189.08
  6. Step 6: Final answer
    x = 5,136.27

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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.