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Finding the Fourth Proportional to 25,778.44, 35,568.83 and 16,839.08

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Solution

The fourth proportional to 25,778.44, 35,568.83 and 16,839.08 is: 23,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.44 : 35,568.83 = 16,839.08 : x
  2. Step 2: Convert to fraction form
    25,778.44/35,568.83 = 16,839.08/x
  3. Step 3: Cross multiply
    25,778.44x = 35,568.83 × 16,839.08
  4. Step 4: Simplify right side
    25,778.44x = 598,946,373.88
  5. Step 5: Solve for x
    x = 598,946,373.88/25,778.44
  6. Step 6: Final answer
    x = 23,234.39

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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.