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Finding the Fourth Proportional to 24,575.38, 33,912.84 and 14,509.78

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Solution

The fourth proportional to 24,575.38, 33,912.84 and 14,509.78 is: 20,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.38 : 33,912.84 = 14,509.78 : x
  2. Step 2: Convert to fraction form
    24,575.38/33,912.84 = 14,509.78/x
  3. Step 3: Cross multiply
    24,575.38x = 33,912.84 × 14,509.78
  4. Step 4: Simplify right side
    24,575.38x = 492,067,847.58
  5. Step 5: Solve for x
    x = 492,067,847.58/24,575.38
  6. Step 6: Final answer
    x = 20,022.80

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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.