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Finding the Fourth Proportional to 20,928.16, 28,882.27 and 11,496.82

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Solution

The fourth proportional to 20,928.16, 28,882.27 and 11,496.82 is: 15,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928.16 : 28,882.27 = 11,496.82 : x
  2. Step 2: Convert to fraction form
    20,928.16/28,882.27 = 11,496.82/x
  3. Step 3: Cross multiply
    20,928.16x = 28,882.27 × 11,496.82
  4. Step 4: Simplify right side
    20,928.16x = 332,054,114.97
  5. Step 5: Solve for x
    x = 332,054,114.97/20,928.16
  6. Step 6: Final answer
    x = 15,866.38

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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.