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Finding the Fourth Proportional to 14,571.36, 21,828.09 and 11,228.01

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Solution

The fourth proportional to 14,571.36, 21,828.09 and 11,228.01 is: 16,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.36 : 21,828.09 = 11,228.01 : x
  2. Step 2: Convert to fraction form
    14,571.36/21,828.09 = 11,228.01/x
  3. Step 3: Cross multiply
    14,571.36x = 21,828.09 × 11,228.01
  4. Step 4: Simplify right side
    14,571.36x = 245,086,012.80
  5. Step 5: Solve for x
    x = 245,086,012.80/14,571.36
  6. Step 6: Final answer
    x = 16,819.71

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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.