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Finding the Fourth Proportional to 24,576.59, 33,912.24 and 13,819.97

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Solution

The fourth proportional to 24,576.59, 33,912.24 and 13,819.97 is: 19,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.59 : 33,912.24 = 13,819.97 : x
  2. Step 2: Convert to fraction form
    24,576.59/33,912.24 = 13,819.97/x
  3. Step 3: Cross multiply
    24,576.59x = 33,912.24 × 13,819.97
  4. Step 4: Simplify right side
    24,576.59x = 468,665,969.87
  5. Step 5: Solve for x
    x = 468,665,969.87/24,576.59
  6. Step 6: Final answer
    x = 19,069.61

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1.5x scale

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.