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Finding the Fourth Proportional to 15,745.38, 21,728.98 and 8,672.20

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Solution

The fourth proportional to 15,745.38, 21,728.98 and 8,672.20 is: 11,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.38 : 21,728.98 = 8,672.20 : x
  2. Step 2: Convert to fraction form
    15,745.38/21,728.98 = 8,672.20/x
  3. Step 3: Cross multiply
    15,745.38x = 21,728.98 × 8,672.20
  4. Step 4: Simplify right side
    15,745.38x = 188,438,060.36
  5. Step 5: Solve for x
    x = 188,438,060.36/15,745.38
  6. Step 6: Final answer
    x = 11,967.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.