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Finding the Fourth Proportional to 27,786.72, 41,660.64 and 13,928.16

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Solution

The fourth proportional to 27,786.72, 41,660.64 and 13,928.16 is: 20,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.72 : 41,660.64 = 13,928.16 : x
  2. Step 2: Convert to fraction form
    27,786.72/41,660.64 = 13,928.16/x
  3. Step 3: Cross multiply
    27,786.72x = 41,660.64 × 13,928.16
  4. Step 4: Simplify right side
    27,786.72x = 580,256,059.62
  5. Step 5: Solve for x
    x = 580,256,059.62/27,786.72
  6. Step 6: Final answer
    x = 20,882.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.