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Finding the Fourth Proportional to 27,771.28, 38,324.04 and 15,196

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Solution

The fourth proportional to 27,771.28, 38,324.04 and 15,196 is: 20,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.28 : 38,324.04 = 15,196 : x
  2. Step 2: Convert to fraction form
    27,771.28/38,324.04 = 15,196/x
  3. Step 3: Cross multiply
    27,771.28x = 38,324.04 × 15,196
  4. Step 4: Simplify right side
    27,771.28x = 582,372,111.84
  5. Step 5: Solve for x
    x = 582,372,111.84/27,771.28
  6. Step 6: Final answer
    x = 20,970.30

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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.