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Finding the Fourth Proportional to 16,277.75, 22,463.30 and 8,825.75

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Solution

The fourth proportional to 16,277.75, 22,463.30 and 8,825.75 is: 12,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.75 : 22,463.30 = 8,825.75 : x
  2. Step 2: Convert to fraction form
    16,277.75/22,463.30 = 8,825.75/x
  3. Step 3: Cross multiply
    16,277.75x = 22,463.30 × 8,825.75
  4. Step 4: Simplify right side
    16,277.75x = 198,255,425.85
  5. Step 5: Solve for x
    x = 198,255,425.85/16,277.75
  6. Step 6: Final answer
    x = 12,179.54

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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.