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Finding the Fourth Proportional to 23,915.97, 33,000.31 and 13,842.44

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Solution

The fourth proportional to 23,915.97, 33,000.31 and 13,842.44 is: 19,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.97 : 33,000.31 = 13,842.44 : x
  2. Step 2: Convert to fraction form
    23,915.97/33,000.31 = 13,842.44/x
  3. Step 3: Cross multiply
    23,915.97x = 33,000.31 × 13,842.44
  4. Step 4: Simplify right side
    23,915.97x = 456,804,787.21
  5. Step 5: Solve for x
    x = 456,804,787.21/23,915.97
  6. Step 6: Final answer
    x = 19,100.41

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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.