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Finding the Fourth Proportional to 19,827, 29,745.36 and 5,976

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Solution

The fourth proportional to 19,827, 29,745.36 and 5,976 is: 8,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 29,745.36 = 5,976 : x
  2. Step 2: Convert to fraction form
    19,827/29,745.36 = 5,976/x
  3. Step 3: Cross multiply
    19,827x = 29,745.36 × 5,976
  4. Step 4: Simplify right side
    19,827x = 177,758,271.36
  5. Step 5: Solve for x
    x = 177,758,271.36/19,827
  6. Step 6: Final answer
    x = 8,965.46

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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.