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Finding the Fourth Proportional to 12,201.96, 16,833.71 and 8,224.35

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Solution

The fourth proportional to 12,201.96, 16,833.71 and 8,224.35 is: 11,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.96 : 16,833.71 = 8,224.35 : x
  2. Step 2: Convert to fraction form
    12,201.96/16,833.71 = 8,224.35/x
  3. Step 3: Cross multiply
    12,201.96x = 16,833.71 × 8,224.35
  4. Step 4: Simplify right side
    12,201.96x = 138,446,281.72
  5. Step 5: Solve for x
    x = 138,446,281.72/12,201.96
  6. Step 6: Final answer
    x = 11,346.23

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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.