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Finding the Fourth Proportional to 27,635.25, 38,136.65 and 15,060

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Solution

The fourth proportional to 27,635.25, 38,136.65 and 15,060 is: 20,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.25 : 38,136.65 = 15,060 : x
  2. Step 2: Convert to fraction form
    27,635.25/38,136.65 = 15,060/x
  3. Step 3: Cross multiply
    27,635.25x = 38,136.65 × 15,060
  4. Step 4: Simplify right side
    27,635.25x = 574,337,949
  5. Step 5: Solve for x
    x = 574,337,949/27,635.25
  6. Step 6: Final answer
    x = 20,782.80

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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.