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Finding the Fourth Proportional to 24,376.08, 33,638.84 and 13,198

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Solution

The fourth proportional to 24,376.08, 33,638.84 and 13,198 is: 18,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.08 : 33,638.84 = 13,198 : x
  2. Step 2: Convert to fraction form
    24,376.08/33,638.84 = 13,198/x
  3. Step 3: Cross multiply
    24,376.08x = 33,638.84 × 13,198
  4. Step 4: Simplify right side
    24,376.08x = 443,965,410.32
  5. Step 5: Solve for x
    x = 443,965,410.32/24,376.08
  6. Step 6: Final answer
    x = 18,213.16

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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.