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Finding the Fourth Proportional to 19,647, 29,471.31 and 5,796

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Solution

The fourth proportional to 19,647, 29,471.31 and 5,796 is: 8,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647 : 29,471.31 = 5,796 : x
  2. Step 2: Convert to fraction form
    19,647/29,471.31 = 5,796/x
  3. Step 3: Cross multiply
    19,647x = 29,471.31 × 5,796
  4. Step 4: Simplify right side
    19,647x = 170,815,712.76
  5. Step 5: Solve for x
    x = 170,815,712.76/19,647
  6. Step 6: Final answer
    x = 8,694.24

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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.