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Finding the Fourth Proportional to 13,882.17, 20,824.99 and 4,523.14

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Solution

The fourth proportional to 13,882.17, 20,824.99 and 4,523.14 is: 6,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.17 : 20,824.99 = 4,523.14 : x
  2. Step 2: Convert to fraction form
    13,882.17/20,824.99 = 4,523.14/x
  3. Step 3: Cross multiply
    13,882.17x = 20,824.99 × 4,523.14
  4. Step 4: Simplify right side
    13,882.17x = 94,194,293.21
  5. Step 5: Solve for x
    x = 94,194,293.21/13,882.17
  6. Step 6: Final answer
    x = 6,785.27

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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.