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Finding the Fourth Proportional to 14,424.57, 19,906.20 and 8,136.94

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Solution

The fourth proportional to 14,424.57, 19,906.20 and 8,136.94 is: 11,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.57 : 19,906.20 = 8,136.94 : x
  2. Step 2: Convert to fraction form
    14,424.57/19,906.20 = 8,136.94/x
  3. Step 3: Cross multiply
    14,424.57x = 19,906.20 × 8,136.94
  4. Step 4: Simplify right side
    14,424.57x = 161,975,555.03
  5. Step 5: Solve for x
    x = 161,975,555.03/14,424.57
  6. Step 6: Final answer
    x = 11,229.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.