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Finding the Fourth Proportional to 14,824.33, 20,458.05 and 8,450.80

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Solution

The fourth proportional to 14,824.33, 20,458.05 and 8,450.80 is: 11,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.33 : 20,458.05 = 8,450.80 : x
  2. Step 2: Convert to fraction form
    14,824.33/20,458.05 = 8,450.80/x
  3. Step 3: Cross multiply
    14,824.33x = 20,458.05 × 8,450.80
  4. Step 4: Simplify right side
    14,824.33x = 172,886,888.94
  5. Step 5: Solve for x
    x = 172,886,888.94/14,824.33
  6. Step 6: Final answer
    x = 11,662.38

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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.