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Finding the Fourth Proportional to 24,205.36, 33,402.84 and 13,449.64

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Solution

The fourth proportional to 24,205.36, 33,402.84 and 13,449.64 is: 18,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.36 : 33,402.84 = 13,449.64 : x
  2. Step 2: Convert to fraction form
    24,205.36/33,402.84 = 13,449.64/x
  3. Step 3: Cross multiply
    24,205.36x = 33,402.84 × 13,449.64
  4. Step 4: Simplify right side
    24,205.36x = 449,256,172.98
  5. Step 5: Solve for x
    x = 449,256,172.98/24,205.36
  6. Step 6: Final answer
    x = 18,560.19

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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.