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Finding the Fourth Proportional to 17,326, 25,990.62 and 5,636.08

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Solution

The fourth proportional to 17,326, 25,990.62 and 5,636.08 is: 8,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,326 : 25,990.62 = 5,636.08 : x
  2. Step 2: Convert to fraction form
    17,326/25,990.62 = 5,636.08/x
  3. Step 3: Cross multiply
    17,326x = 25,990.62 × 5,636.08
  4. Step 4: Simplify right side
    17,326x = 146,485,213.57
  5. Step 5: Solve for x
    x = 146,485,213.57/17,326
  6. Step 6: Final answer
    x = 8,454.65

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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.