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Finding the Fourth Proportional to 27,394.46, 37,804.38 and 14,819.22

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Solution

The fourth proportional to 27,394.46, 37,804.38 and 14,819.22 is: 20,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394.46 : 37,804.38 = 14,819.22 : x
  2. Step 2: Convert to fraction form
    27,394.46/37,804.38 = 14,819.22/x
  3. Step 3: Cross multiply
    27,394.46x = 37,804.38 × 14,819.22
  4. Step 4: Simplify right side
    27,394.46x = 560,231,424.18
  5. Step 5: Solve for x
    x = 560,231,424.18/27,394.46
  6. Step 6: Final answer
    x = 20,450.54

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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.