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Finding the Fourth Proportional to 14,136.71, 19,512.16 and 8,172.09

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Solution

The fourth proportional to 14,136.71, 19,512.16 and 8,172.09 is: 11,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.71 : 19,512.16 = 8,172.09 : x
  2. Step 2: Convert to fraction form
    14,136.71/19,512.16 = 8,172.09/x
  3. Step 3: Cross multiply
    14,136.71x = 19,512.16 × 8,172.09
  4. Step 4: Simplify right side
    14,136.71x = 159,455,107.18
  5. Step 5: Solve for x
    x = 159,455,107.18/14,136.71
  6. Step 6: Final answer
    x = 11,279.51

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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.