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Finding the Fourth Proportional to 18,800.20, 25,942.68 and 10,843

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Solution

The fourth proportional to 18,800.20, 25,942.68 and 10,843 is: 14,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,800.20 : 25,942.68 = 10,843 : x
  2. Step 2: Convert to fraction form
    18,800.20/25,942.68 = 10,843/x
  3. Step 3: Cross multiply
    18,800.20x = 25,942.68 × 10,843
  4. Step 4: Simplify right side
    18,800.20x = 281,296,479.24
  5. Step 5: Solve for x
    x = 281,296,479.24/18,800.20
  6. Step 6: Final answer
    x = 14,962.42

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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.