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Finding the Fourth Proportional to 23,404, 35,109.84 and 7,825.36

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Solution

The fourth proportional to 23,404, 35,109.84 and 7,825.36 is: 11,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404 : 35,109.84 = 7,825.36 : x
  2. Step 2: Convert to fraction form
    23,404/35,109.84 = 7,825.36/x
  3. Step 3: Cross multiply
    23,404x = 35,109.84 × 7,825.36
  4. Step 4: Simplify right side
    23,404x = 274,747,137.54
  5. Step 5: Solve for x
    x = 274,747,137.54/23,404
  6. Step 6: Final answer
    x = 11,739.32

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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.