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Finding the Fourth Proportional to 24,533.99, 33,879.39 and 15,584.38

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Solution

The fourth proportional to 24,533.99, 33,879.39 and 15,584.38 is: 21,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.99 : 33,879.39 = 15,584.38 : x
  2. Step 2: Convert to fraction form
    24,533.99/33,879.39 = 15,584.38/x
  3. Step 3: Cross multiply
    24,533.99x = 33,879.39 × 15,584.38
  4. Step 4: Simplify right side
    24,533.99x = 527,989,287.93
  5. Step 5: Solve for x
    x = 527,989,287.93/24,533.99
  6. Step 6: Final answer
    x = 21,520.73

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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.