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Finding the Fourth Proportional to 19,884, 29,826.08 and 6,736.48

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Solution

The fourth proportional to 19,884, 29,826.08 and 6,736.48 is: 10,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884 : 29,826.08 = 6,736.48 : x
  2. Step 2: Convert to fraction form
    19,884/29,826.08 = 6,736.48/x
  3. Step 3: Cross multiply
    19,884x = 29,826.08 × 6,736.48
  4. Step 4: Simplify right side
    19,884x = 200,922,791.40
  5. Step 5: Solve for x
    x = 200,922,791.40/19,884
  6. Step 6: Final answer
    x = 10,104.75

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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.