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Finding the Fourth Proportional to 17,883.92, 26,826 and 6,194.40

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Solution

The fourth proportional to 17,883.92, 26,826 and 6,194.40 is: 9,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.92 : 26,826 = 6,194.40 : x
  2. Step 2: Convert to fraction form
    17,883.92/26,826 = 6,194.40/x
  3. Step 3: Cross multiply
    17,883.92x = 26,826 × 6,194.40
  4. Step 4: Simplify right side
    17,883.92x = 166,170,974.40
  5. Step 5: Solve for x
    x = 166,170,974.40/17,883.92
  6. Step 6: Final answer
    x = 9,291.64

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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.