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Finding the Fourth Proportional to 17,796.22, 24,556.65 and 9,837.36

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Solution

The fourth proportional to 17,796.22, 24,556.65 and 9,837.36 is: 13,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796.22 : 24,556.65 = 9,837.36 : x
  2. Step 2: Convert to fraction form
    17,796.22/24,556.65 = 9,837.36/x
  3. Step 3: Cross multiply
    17,796.22x = 24,556.65 × 9,837.36
  4. Step 4: Simplify right side
    17,796.22x = 241,572,606.44
  5. Step 5: Solve for x
    x = 241,572,606.44/17,796.22
  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.