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Finding the Fourth Proportional to 17,796.23, 24,556.65 and 9,837.37

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Solution

The fourth proportional to 17,796.23, 24,556.65 and 9,837.37 is: 13,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796.23 : 24,556.65 = 9,837.37 : x
  2. Step 2: Convert to fraction form
    17,796.23/24,556.65 = 9,837.37/x
  3. Step 3: Cross multiply
    17,796.23x = 24,556.65 × 9,837.37
  4. Step 4: Simplify right side
    17,796.23x = 241,572,729.23
  5. Step 5: Solve for x
    x = 241,572,729.23/17,796.23
  6. Step 6: Final answer
    x = 13,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.