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Finding the Fourth Proportional to 23,442, 35,163.44 and 10,958.60

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Solution

The fourth proportional to 23,442, 35,163.44 and 10,958.60 is: 16,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442 : 35,163.44 = 10,958.60 : x
  2. Step 2: Convert to fraction form
    23,442/35,163.44 = 10,958.60/x
  3. Step 3: Cross multiply
    23,442x = 35,163.44 × 10,958.60
  4. Step 4: Simplify right side
    23,442x = 385,342,073.58
  5. Step 5: Solve for x
    x = 385,342,073.58/23,442
  6. Step 6: Final answer
    x = 16,438.11

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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.