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Finding the Fourth Proportional to 23,286.42, 34,943.94 and 9,243.99

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Solution

The fourth proportional to 23,286.42, 34,943.94 and 9,243.99 is: 13,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286.42 : 34,943.94 = 9,243.99 : x
  2. Step 2: Convert to fraction form
    23,286.42/34,943.94 = 9,243.99/x
  3. Step 3: Cross multiply
    23,286.42x = 34,943.94 × 9,243.99
  4. Step 4: Simplify right side
    23,286.42x = 323,021,431.92
  5. Step 5: Solve for x
    x = 323,021,431.92/23,286.42
  6. Step 6: Final answer
    x = 13,871.67

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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.