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Finding the Fourth Proportional to 17,186.70, 25,782.72 and 7,326

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Solution

The fourth proportional to 17,186.70, 25,782.72 and 7,326 is: 10,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.70 : 25,782.72 = 7,326 : x
  2. Step 2: Convert to fraction form
    17,186.70/25,782.72 = 7,326/x
  3. Step 3: Cross multiply
    17,186.70x = 25,782.72 × 7,326
  4. Step 4: Simplify right side
    17,186.70x = 188,884,206.72
  5. Step 5: Solve for x
    x = 188,884,206.72/17,186.70
  6. Step 6: Final answer
    x = 10,990.14

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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.