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Finding the Fourth Proportional to 27,804, 41,707.82 and 11,161.84

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Solution

The fourth proportional to 27,804, 41,707.82 and 11,161.84 is: 16,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804 : 41,707.82 = 11,161.84 : x
  2. Step 2: Convert to fraction form
    27,804/41,707.82 = 11,161.84/x
  3. Step 3: Cross multiply
    27,804x = 41,707.82 × 11,161.84
  4. Step 4: Simplify right side
    27,804x = 465,536,013.59
  5. Step 5: Solve for x
    x = 465,536,013.59/27,804
  6. Step 6: Final answer
    x = 16,743.49

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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.