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Finding the Fourth Proportional to 11,614.54, 17,423.97 and 3,823.90

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Solution

The fourth proportional to 11,614.54, 17,423.97 and 3,823.90 is: 5,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.54 : 17,423.97 = 3,823.90 : x
  2. Step 2: Convert to fraction form
    11,614.54/17,423.97 = 3,823.90/x
  3. Step 3: Cross multiply
    11,614.54x = 17,423.97 × 3,823.90
  4. Step 4: Simplify right side
    11,614.54x = 66,627,518.88
  5. Step 5: Solve for x
    x = 66,627,518.88/11,614.54
  6. Step 6: Final answer
    x = 5,736.56

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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.