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Finding the Fourth Proportional to 12,225.21, 16,860.38 and 8,241.09

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Solution

The fourth proportional to 12,225.21, 16,860.38 and 8,241.09 is: 11,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.21 : 16,860.38 = 8,241.09 : x
  2. Step 2: Convert to fraction form
    12,225.21/16,860.38 = 8,241.09/x
  3. Step 3: Cross multiply
    12,225.21x = 16,860.38 × 8,241.09
  4. Step 4: Simplify right side
    12,225.21x = 138,947,909.01
  5. Step 5: Solve for x
    x = 138,947,909.01/12,225.21
  6. Step 6: Final answer
    x = 11,365.69

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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.