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Finding the Fourth Proportional to 21,777, 30,052.50 and 11,841

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Solution

The fourth proportional to 21,777, 30,052.50 and 11,841 is: 16,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777 : 30,052.50 = 11,841 : x
  2. Step 2: Convert to fraction form
    21,777/30,052.50 = 11,841/x
  3. Step 3: Cross multiply
    21,777x = 30,052.50 × 11,841
  4. Step 4: Simplify right side
    21,777x = 355,851,652.50
  5. Step 5: Solve for x
    x = 355,851,652.50/21,777
  6. Step 6: Final answer
    x = 16,340.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.