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Finding the Fourth Proportional to 24,313.14, 33,558.38 and 15,836.39

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Solution

The fourth proportional to 24,313.14, 33,558.38 and 15,836.39 is: 21,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.14 : 33,558.38 = 15,836.39 : x
  2. Step 2: Convert to fraction form
    24,313.14/33,558.38 = 15,836.39/x
  3. Step 3: Cross multiply
    24,313.14x = 33,558.38 × 15,836.39
  4. Step 4: Simplify right side
    24,313.14x = 531,443,593.45
  5. Step 5: Solve for x
    x = 531,443,593.45/24,313.14
  6. Step 6: Final answer
    x = 21,858.29

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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.