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Finding the Fourth Proportional to 12,212.96, 16,857.12 and 8,436.80

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Solution

The fourth proportional to 12,212.96, 16,857.12 and 8,436.80 is: 11,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.96 : 16,857.12 = 8,436.80 : x
  2. Step 2: Convert to fraction form
    12,212.96/16,857.12 = 8,436.80/x
  3. Step 3: Cross multiply
    12,212.96x = 16,857.12 × 8,436.80
  4. Step 4: Simplify right side
    12,212.96x = 142,220,150.02
  5. Step 5: Solve for x
    x = 142,220,150.02/12,212.96
  6. Step 6: Final answer
    x = 11,645.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.