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Finding the Fourth Proportional to 23,777, 35,665.50 and 7,361

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Solution

The fourth proportional to 23,777, 35,665.50 and 7,361 is: 11,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777 : 35,665.50 = 7,361 : x
  2. Step 2: Convert to fraction form
    23,777/35,665.50 = 7,361/x
  3. Step 3: Cross multiply
    23,777x = 35,665.50 × 7,361
  4. Step 4: Simplify right side
    23,777x = 262,533,745.50
  5. Step 5: Solve for x
    x = 262,533,745.50/23,777
  6. Step 6: Final answer
    x = 11,041.50

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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.