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Finding the Fourth Proportional to 23,836.40, 32,819.44 and 20,243.84

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Solution

The fourth proportional to 23,836.40, 32,819.44 and 20,243.84 is: 27,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.40 : 32,819.44 = 20,243.84 : x
  2. Step 2: Convert to fraction form
    23,836.40/32,819.44 = 20,243.84/x
  3. Step 3: Cross multiply
    23,836.40x = 32,819.44 × 20,243.84
  4. Step 4: Simplify right side
    23,836.40x = 664,391,492.25
  5. Step 5: Solve for x
    x = 664,391,492.25/23,836.40
  6. Step 6: Final answer
    x = 27,872.98

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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.