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Finding the Fourth Proportional to 23,841, 35,761.50 and 7,425

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Solution

The fourth proportional to 23,841, 35,761.50 and 7,425 is: 11,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841 : 35,761.50 = 7,425 : x
  2. Step 2: Convert to fraction form
    23,841/35,761.50 = 7,425/x
  3. Step 3: Cross multiply
    23,841x = 35,761.50 × 7,425
  4. Step 4: Simplify right side
    23,841x = 265,529,137.50
  5. Step 5: Solve for x
    x = 265,529,137.50/23,841
  6. Step 6: Final answer
    x = 11,137.50

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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.