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Finding the Fourth Proportional to 19,828.31, 29,745.22 and 6,684.44

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Solution

The fourth proportional to 19,828.31, 29,745.22 and 6,684.44 is: 10,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.31 : 29,745.22 = 6,684.44 : x
  2. Step 2: Convert to fraction form
    19,828.31/29,745.22 = 6,684.44/x
  3. Step 3: Cross multiply
    19,828.31x = 29,745.22 × 6,684.44
  4. Step 4: Simplify right side
    19,828.31x = 198,830,138.38
  5. Step 5: Solve for x
    x = 198,830,138.38/19,828.31
  6. Step 6: Final answer
    x = 10,027.59

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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.