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Finding the Fourth Proportional to 24,469.84, 33,782.72 and 17,749

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Solution

The fourth proportional to 24,469.84, 33,782.72 and 17,749 is: 24,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.84 : 33,782.72 = 17,749 : x
  2. Step 2: Convert to fraction form
    24,469.84/33,782.72 = 17,749/x
  3. Step 3: Cross multiply
    24,469.84x = 33,782.72 × 17,749
  4. Step 4: Simplify right side
    24,469.84x = 599,609,497.28
  5. Step 5: Solve for x
    x = 599,609,497.28/24,469.84
  6. Step 6: Final answer
    x = 24,504.02

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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.