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Finding the Fourth Proportional to 13,882.26, 20,823.38 and 3,494

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Solution

The fourth proportional to 13,882.26, 20,823.38 and 3,494 is: 5,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.26 : 20,823.38 = 3,494 : x
  2. Step 2: Convert to fraction form
    13,882.26/20,823.38 = 3,494/x
  3. Step 3: Cross multiply
    13,882.26x = 20,823.38 × 3,494
  4. Step 4: Simplify right side
    13,882.26x = 72,756,889.72
  5. Step 5: Solve for x
    x = 72,756,889.72/13,882.26
  6. Step 6: Final answer
    x = 5,241.00

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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.