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Finding the Fourth Proportional to 27,804.50, 41,708.57 and 11,162.34

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Solution

The fourth proportional to 27,804.50, 41,708.57 and 11,162.34 is: 16,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.50 : 41,708.57 = 11,162.34 : x
  2. Step 2: Convert to fraction form
    27,804.50/41,708.57 = 11,162.34/x
  3. Step 3: Cross multiply
    27,804.50x = 41,708.57 × 11,162.34
  4. Step 4: Simplify right side
    27,804.50x = 465,565,239.25
  5. Step 5: Solve for x
    x = 465,565,239.25/27,804.50
  6. Step 6: Final answer
    x = 16,744.24

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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.