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Finding the Fourth Proportional to 17,583.68, 26,379.36 and 7,196.48

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Solution

The fourth proportional to 17,583.68, 26,379.36 and 7,196.48 is: 10,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.68 : 26,379.36 = 7,196.48 : x
  2. Step 2: Convert to fraction form
    17,583.68/26,379.36 = 7,196.48/x
  3. Step 3: Cross multiply
    17,583.68x = 26,379.36 × 7,196.48
  4. Step 4: Simplify right side
    17,583.68x = 189,838,536.65
  5. Step 5: Solve for x
    x = 189,838,536.65/17,583.68
  6. Step 6: Final answer
    x = 10,796.29

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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.