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Finding the Fourth Proportional to 23,993.22, 33,111 and 13,383.66

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Solution

The fourth proportional to 23,993.22, 33,111 and 13,383.66 is: 18,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.22 : 33,111 = 13,383.66 : x
  2. Step 2: Convert to fraction form
    23,993.22/33,111 = 13,383.66/x
  3. Step 3: Cross multiply
    23,993.22x = 33,111 × 13,383.66
  4. Step 4: Simplify right side
    23,993.22x = 443,146,366.26
  5. Step 5: Solve for x
    x = 443,146,366.26/23,993.22
  6. Step 6: Final answer
    x = 18,469.65

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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.