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Finding the Fourth Proportional to 17,530, 26,294.04 and 7,150.48

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Solution

The fourth proportional to 17,530, 26,294.04 and 7,150.48 is: 10,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530 : 26,294.04 = 7,150.48 : x
  2. Step 2: Convert to fraction form
    17,530/26,294.04 = 7,150.48/x
  3. Step 3: Cross multiply
    17,530x = 26,294.04 × 7,150.48
  4. Step 4: Simplify right side
    17,530x = 188,015,007.14
  5. Step 5: Solve for x
    x = 188,015,007.14/17,530
  6. Step 6: Final answer
    x = 10,725.33

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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.