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Finding the Fourth Proportional to 16,830.80, 23,226.48 and 9,378.80

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Solution

The fourth proportional to 16,830.80, 23,226.48 and 9,378.80 is: 12,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.80 : 23,226.48 = 9,378.80 : x
  2. Step 2: Convert to fraction form
    16,830.80/23,226.48 = 9,378.80/x
  3. Step 3: Cross multiply
    16,830.80x = 23,226.48 × 9,378.80
  4. Step 4: Simplify right side
    16,830.80x = 217,836,510.62
  5. Step 5: Solve for x
    x = 217,836,510.62/16,830.80
  6. Step 6: Final answer
    x = 12,942.73

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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.