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Finding the Fourth Proportional to 27,771.40, 38,325.54 and 15,196.24

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Solution

The fourth proportional to 27,771.40, 38,325.54 and 15,196.24 is: 20,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.40 : 38,325.54 = 15,196.24 : x
  2. Step 2: Convert to fraction form
    27,771.40/38,325.54 = 15,196.24/x
  3. Step 3: Cross multiply
    27,771.40x = 38,325.54 × 15,196.24
  4. Step 4: Simplify right side
    27,771.40x = 582,404,103.97
  5. Step 5: Solve for x
    x = 582,404,103.97/27,771.40
  6. Step 6: Final answer
    x = 20,971.36

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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.