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Finding the Fourth Proportional to 25,550.80, 38,327.82 and 8,021.32

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Solution

The fourth proportional to 25,550.80, 38,327.82 and 8,021.32 is: 12,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,550.80 : 38,327.82 = 8,021.32 : x
  2. Step 2: Convert to fraction form
    25,550.80/38,327.82 = 8,021.32/x
  3. Step 3: Cross multiply
    25,550.80x = 38,327.82 × 8,021.32
  4. Step 4: Simplify right side
    25,550.80x = 307,439,709.12
  5. Step 5: Solve for x
    x = 307,439,709.12/25,550.80
  6. Step 6: Final answer
    x = 12,032.49

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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.