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Finding the Fourth Proportional to 24,338.33, 33,586.94 and 13,728

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Solution

The fourth proportional to 24,338.33, 33,586.94 and 13,728 is: 18,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.33 : 33,586.94 = 13,728 : x
  2. Step 2: Convert to fraction form
    24,338.33/33,586.94 = 13,728/x
  3. Step 3: Cross multiply
    24,338.33x = 33,586.94 × 13,728
  4. Step 4: Simplify right side
    24,338.33x = 461,081,443.68
  5. Step 5: Solve for x
    x = 461,081,443.68/24,338.33
  6. Step 6: Final answer
    x = 18,944.67

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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.