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Finding the Fourth Proportional to 17,583.47, 26,375.31 and 7,195.22

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Solution

The fourth proportional to 17,583.47, 26,375.31 and 7,195.22 is: 10,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.47 : 26,375.31 = 7,195.22 : x
  2. Step 2: Convert to fraction form
    17,583.47/26,375.31 = 7,195.22/x
  3. Step 3: Cross multiply
    17,583.47x = 26,375.31 × 7,195.22
  4. Step 4: Simplify right side
    17,583.47x = 189,776,026.14
  5. Step 5: Solve for x
    x = 189,776,026.14/17,583.47
  6. Step 6: Final answer
    x = 10,792.87

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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.