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Finding the Fourth Proportional to 19,879.75, 29,824.80 and 6,028.75

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Solution

The fourth proportional to 19,879.75, 29,824.80 and 6,028.75 is: 9,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.75 : 29,824.80 = 6,028.75 : x
  2. Step 2: Convert to fraction form
    19,879.75/29,824.80 = 6,028.75/x
  3. Step 3: Cross multiply
    19,879.75x = 29,824.80 × 6,028.75
  4. Step 4: Simplify right side
    19,879.75x = 179,806,263
  5. Step 5: Solve for x
    x = 179,806,263/19,879.75
  6. Step 6: Final answer
    x = 9,044.69

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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.