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Finding the Fourth Proportional to 16,830, 23,226.12 and 9,378

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Solution

The fourth proportional to 16,830, 23,226.12 and 9,378 is: 12,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 23,226.12 = 9,378 : x
  2. Step 2: Convert to fraction form
    16,830/23,226.12 = 9,378/x
  3. Step 3: Cross multiply
    16,830x = 23,226.12 × 9,378
  4. Step 4: Simplify right side
    16,830x = 217,814,553.36
  5. Step 5: Solve for x
    x = 217,814,553.36/16,830
  6. Step 6: Final answer
    x = 12,942.04

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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.