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Finding the Fourth Proportional to 27,604.89, 41,391.84 and 13,534.73

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Solution

The fourth proportional to 27,604.89, 41,391.84 and 13,534.73 is: 20,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.89 : 41,391.84 = 13,534.73 : x
  2. Step 2: Convert to fraction form
    27,604.89/41,391.84 = 13,534.73/x
  3. Step 3: Cross multiply
    27,604.89x = 41,391.84 × 13,534.73
  4. Step 4: Simplify right side
    27,604.89x = 560,227,378.60
  5. Step 5: Solve for x
    x = 560,227,378.60/27,604.89
  6. Step 6: Final answer
    x = 20,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.