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Finding the Fourth Proportional to 23,796.20, 32,842.82 and 13,722.84

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Solution

The fourth proportional to 23,796.20, 32,842.82 and 13,722.84 is: 18,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.20 : 32,842.82 = 13,722.84 : x
  2. Step 2: Convert to fraction form
    23,796.20/32,842.82 = 13,722.84/x
  3. Step 3: Cross multiply
    23,796.20x = 32,842.82 × 13,722.84
  4. Step 4: Simplify right side
    23,796.20x = 450,696,764.01
  5. Step 5: Solve for x
    x = 450,696,764.01/23,796.20
  6. Step 6: Final answer
    x = 18,939.86

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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.