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Finding the Fourth Proportional to 24,786.50, 34,205.91 and 13,608.50

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Solution

The fourth proportional to 24,786.50, 34,205.91 and 13,608.50 is: 18,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.50 : 34,205.91 = 13,608.50 : x
  2. Step 2: Convert to fraction form
    24,786.50/34,205.91 = 13,608.50/x
  3. Step 3: Cross multiply
    24,786.50x = 34,205.91 × 13,608.50
  4. Step 4: Simplify right side
    24,786.50x = 465,491,126.24
  5. Step 5: Solve for x
    x = 465,491,126.24/24,786.50
  6. Step 6: Final answer
    x = 18,780.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.