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Finding the Fourth Proportional to 15,771.80, 23,608.49 and 11,616.50

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Solution

The fourth proportional to 15,771.80, 23,608.49 and 11,616.50 is: 17,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.80 : 23,608.49 = 11,616.50 : x
  2. Step 2: Convert to fraction form
    15,771.80/23,608.49 = 11,616.50/x
  3. Step 3: Cross multiply
    15,771.80x = 23,608.49 × 11,616.50
  4. Step 4: Simplify right side
    15,771.80x = 274,247,847.96
  5. Step 5: Solve for x
    x = 274,247,847.96/15,771.80
  6. Step 6: Final answer
    x = 17,388.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.