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Finding the Fourth Proportional to 16,777.75, 23,153.31 and 9,224.21

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Solution

The fourth proportional to 16,777.75, 23,153.31 and 9,224.21 is: 12,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777.75 : 23,153.31 = 9,224.21 : x
  2. Step 2: Convert to fraction form
    16,777.75/23,153.31 = 9,224.21/x
  3. Step 3: Cross multiply
    16,777.75x = 23,153.31 × 9,224.21
  4. Step 4: Simplify right side
    16,777.75x = 213,570,944.11
  5. Step 5: Solve for x
    x = 213,570,944.11/16,777.75
  6. Step 6: Final answer
    x = 12,729.42

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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.