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Finding the Fourth Proportional to 13,866.91, 19,136.38 and 7,579.42

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Solution

The fourth proportional to 13,866.91, 19,136.38 and 7,579.42 is: 10,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.91 : 19,136.38 = 7,579.42 : x
  2. Step 2: Convert to fraction form
    13,866.91/19,136.38 = 7,579.42/x
  3. Step 3: Cross multiply
    13,866.91x = 19,136.38 × 7,579.42
  4. Step 4: Simplify right side
    13,866.91x = 145,042,661.30
  5. Step 5: Solve for x
    x = 145,042,661.30/13,866.91
  6. Step 6: Final answer
    x = 10,459.62

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Why These Related Problems?

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