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Finding the Fourth Proportional to 23,835.39, 32,892.39 and 13,224.80

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Solution

The fourth proportional to 23,835.39, 32,892.39 and 13,224.80 is: 18,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.39 : 32,892.39 = 13,224.80 : x
  2. Step 2: Convert to fraction form
    23,835.39/32,892.39 = 13,224.80/x
  3. Step 3: Cross multiply
    23,835.39x = 32,892.39 × 13,224.80
  4. Step 4: Simplify right side
    23,835.39x = 434,995,114.81
  5. Step 5: Solve for x
    x = 434,995,114.81/23,835.39
  6. Step 6: Final answer
    x = 18,249.97

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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.