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Finding the Fourth Proportional to 24,914.33, 37,367.84 and 8,273.99

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Solution

The fourth proportional to 24,914.33, 37,367.84 and 8,273.99 is: 12,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.33 : 37,367.84 = 8,273.99 : x
  2. Step 2: Convert to fraction form
    24,914.33/37,367.84 = 8,273.99/x
  3. Step 3: Cross multiply
    24,914.33x = 37,367.84 × 8,273.99
  4. Step 4: Simplify right side
    24,914.33x = 309,181,248.59
  5. Step 5: Solve for x
    x = 309,181,248.59/24,914.33
  6. Step 6: Final answer
    x = 12,409.78

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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.