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Finding the Fourth Proportional to 23,844.09, 35,744.86 and 9,042.96

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Solution

The fourth proportional to 23,844.09, 35,744.86 and 9,042.96 is: 13,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.09 : 35,744.86 = 9,042.96 : x
  2. Step 2: Convert to fraction form
    23,844.09/35,744.86 = 9,042.96/x
  3. Step 3: Cross multiply
    23,844.09x = 35,744.86 × 9,042.96
  4. Step 4: Simplify right side
    23,844.09x = 323,239,339.19
  5. Step 5: Solve for x
    x = 323,239,339.19/23,844.09
  6. Step 6: Final answer
    x = 13,556.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.