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Finding the Fourth Proportional to 10,243.80, 14,183.10 and 10,049.40

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Solution

The fourth proportional to 10,243.80, 14,183.10 and 10,049.40 is: 13,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.80 : 14,183.10 = 10,049.40 : x
  2. Step 2: Convert to fraction form
    10,243.80/14,183.10 = 10,049.40/x
  3. Step 3: Cross multiply
    10,243.80x = 14,183.10 × 10,049.40
  4. Step 4: Simplify right side
    10,243.80x = 142,531,645.14
  5. Step 5: Solve for x
    x = 142,531,645.14/10,243.80
  6. Step 6: Final answer
    x = 13,913.94

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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.