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Finding the Fourth Proportional to 19,894.49, 27,450.73 and 11,830.84

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Solution

The fourth proportional to 19,894.49, 27,450.73 and 11,830.84 is: 16,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.49 : 27,450.73 = 11,830.84 : x
  2. Step 2: Convert to fraction form
    19,894.49/27,450.73 = 11,830.84/x
  3. Step 3: Cross multiply
    19,894.49x = 27,450.73 × 11,830.84
  4. Step 4: Simplify right side
    19,894.49x = 324,765,140.67
  5. Step 5: Solve for x
    x = 324,765,140.67/19,894.49
  6. Step 6: Final answer
    x = 16,324.38

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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.