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Finding the Fourth Proportional to 14,136.82, 19,506.54 and 8,169.28

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Solution

The fourth proportional to 14,136.82, 19,506.54 and 8,169.28 is: 11,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.82 : 19,506.54 = 8,169.28 : x
  2. Step 2: Convert to fraction form
    14,136.82/19,506.54 = 8,169.28/x
  3. Step 3: Cross multiply
    14,136.82x = 19,506.54 × 8,169.28
  4. Step 4: Simplify right side
    14,136.82x = 159,354,387.09
  5. Step 5: Solve for x
    x = 159,354,387.09/14,136.82
  6. Step 6: Final answer
    x = 11,272.29

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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.