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Finding the Fourth Proportional to 23,405.22, 35,076.78 and 10,243.26

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Solution

The fourth proportional to 23,405.22, 35,076.78 and 10,243.26 is: 15,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.22 : 35,076.78 = 10,243.26 : x
  2. Step 2: Convert to fraction form
    23,405.22/35,076.78 = 10,243.26/x
  3. Step 3: Cross multiply
    23,405.22x = 35,076.78 × 10,243.26
  4. Step 4: Simplify right side
    23,405.22x = 359,300,577.50
  5. Step 5: Solve for x
    x = 359,300,577.50/23,405.22
  6. Step 6: Final answer
    x = 15,351.30

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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.