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Finding the Fourth Proportional to 19,644.14, 27,104.28 and 11,144.38

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Solution

The fourth proportional to 19,644.14, 27,104.28 and 11,144.38 is: 15,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.14 : 27,104.28 = 11,144.38 : x
  2. Step 2: Convert to fraction form
    19,644.14/27,104.28 = 11,144.38/x
  3. Step 3: Cross multiply
    19,644.14x = 27,104.28 × 11,144.38
  4. Step 4: Simplify right side
    19,644.14x = 302,060,395.95
  5. Step 5: Solve for x
    x = 302,060,395.95/19,644.14
  6. Step 6: Final answer
    x = 15,376.62

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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.