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Finding the Fourth Proportional to 16,546.97, 24,806.50 and 7,179.93

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Solution

The fourth proportional to 16,546.97, 24,806.50 and 7,179.93 is: 10,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.97 : 24,806.50 = 7,179.93 : x
  2. Step 2: Convert to fraction form
    16,546.97/24,806.50 = 7,179.93/x
  3. Step 3: Cross multiply
    16,546.97x = 24,806.50 × 7,179.93
  4. Step 4: Simplify right side
    16,546.97x = 178,108,933.55
  5. Step 5: Solve for x
    x = 178,108,933.55/16,546.97
  6. Step 6: Final answer
    x = 10,763.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.