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Finding the Fourth Proportional to 27,640.36, 38,149.14 and 19,252

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Solution

The fourth proportional to 27,640.36, 38,149.14 and 19,252 is: 26,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.36 : 38,149.14 = 19,252 : x
  2. Step 2: Convert to fraction form
    27,640.36/38,149.14 = 19,252/x
  3. Step 3: Cross multiply
    27,640.36x = 38,149.14 × 19,252
  4. Step 4: Simplify right side
    27,640.36x = 734,447,243.28
  5. Step 5: Solve for x
    x = 734,447,243.28/27,640.36
  6. Step 6: Final answer
    x = 26,571.55

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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.