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Finding the Fourth Proportional to 24,067.53, 33,213.24 and 13,457.34

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Solution

The fourth proportional to 24,067.53, 33,213.24 and 13,457.34 is: 18,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.53 : 33,213.24 = 13,457.34 : x
  2. Step 2: Convert to fraction form
    24,067.53/33,213.24 = 13,457.34/x
  3. Step 3: Cross multiply
    24,067.53x = 33,213.24 × 13,457.34
  4. Step 4: Simplify right side
    24,067.53x = 446,961,863.18
  5. Step 5: Solve for x
    x = 446,961,863.18/24,067.53
  6. Step 6: Final answer
    x = 18,571.16

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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.