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Finding the Fourth Proportional to 14,456.44, 21,669.89 and 8,203.25

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Solution

The fourth proportional to 14,456.44, 21,669.89 and 8,203.25 is: 12,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.44 : 21,669.89 = 8,203.25 : x
  2. Step 2: Convert to fraction form
    14,456.44/21,669.89 = 8,203.25/x
  3. Step 3: Cross multiply
    14,456.44x = 21,669.89 × 8,203.25
  4. Step 4: Simplify right side
    14,456.44x = 177,763,525.14
  5. Step 5: Solve for x
    x = 177,763,525.14/14,456.44
  6. Step 6: Final answer
    x = 12,296.49

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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.