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Finding the Fourth Proportional to 17,891.82, 26,838 and 6,205.32

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Solution

The fourth proportional to 17,891.82, 26,838 and 6,205.32 is: 9,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.82 : 26,838 = 6,205.32 : x
  2. Step 2: Convert to fraction form
    17,891.82/26,838 = 6,205.32/x
  3. Step 3: Cross multiply
    17,891.82x = 26,838 × 6,205.32
  4. Step 4: Simplify right side
    17,891.82x = 166,538,378.16
  5. Step 5: Solve for x
    x = 166,538,378.16/17,891.82
  6. Step 6: Final answer
    x = 9,308.07

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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.