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Finding the Fourth Proportional to 24,620.50, 33,976.56 and 13,442.50

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Solution

The fourth proportional to 24,620.50, 33,976.56 and 13,442.50 is: 18,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,620.50 : 33,976.56 = 13,442.50 : x
  2. Step 2: Convert to fraction form
    24,620.50/33,976.56 = 13,442.50/x
  3. Step 3: Cross multiply
    24,620.50x = 33,976.56 × 13,442.50
  4. Step 4: Simplify right side
    24,620.50x = 456,729,907.80
  5. Step 5: Solve for x
    x = 456,729,907.80/24,620.50
  6. Step 6: Final answer
    x = 18,550.80

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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.