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Finding the Fourth Proportional to 23,966.14, 33,071.82 and 13,893.82

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Solution

The fourth proportional to 23,966.14, 33,071.82 and 13,893.82 is: 19,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,966.14 : 33,071.82 = 13,893.82 : x
  2. Step 2: Convert to fraction form
    23,966.14/33,071.82 = 13,893.82/x
  3. Step 3: Cross multiply
    23,966.14x = 33,071.82 × 13,893.82
  4. Step 4: Simplify right side
    23,966.14x = 459,493,914.15
  5. Step 5: Solve for x
    x = 459,493,914.15/23,966.14
  6. Step 6: Final answer
    x = 19,172.63

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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.