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Finding the Fourth Proportional to 24,540.84, 33,865.62 and 13,638.94

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Solution

The fourth proportional to 24,540.84, 33,865.62 and 13,638.94 is: 18,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.84 : 33,865.62 = 13,638.94 : x
  2. Step 2: Convert to fraction form
    24,540.84/33,865.62 = 13,638.94/x
  3. Step 3: Cross multiply
    24,540.84x = 33,865.62 × 13,638.94
  4. Step 4: Simplify right side
    24,540.84x = 461,891,091.05
  5. Step 5: Solve for x
    x = 461,891,091.05/24,540.84
  6. Step 6: Final answer
    x = 18,821.32

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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.