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Finding the Fourth Proportional to 24,505.38, 33,824.34 and 14,439.63

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Solution

The fourth proportional to 24,505.38, 33,824.34 and 14,439.63 is: 19,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.38 : 33,824.34 = 14,439.63 : x
  2. Step 2: Convert to fraction form
    24,505.38/33,824.34 = 14,439.63/x
  3. Step 3: Cross multiply
    24,505.38x = 33,824.34 × 14,439.63
  4. Step 4: Simplify right side
    24,505.38x = 488,410,954.59
  5. Step 5: Solve for x
    x = 488,410,954.59/24,505.38
  6. Step 6: Final answer
    x = 19,930.76

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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.