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Finding the Fourth Proportional to 27,489.28, 41,197.20 and 14,314

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Solution

The fourth proportional to 27,489.28, 41,197.20 and 14,314 is: 21,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.28 : 41,197.20 = 14,314 : x
  2. Step 2: Convert to fraction form
    27,489.28/41,197.20 = 14,314/x
  3. Step 3: Cross multiply
    27,489.28x = 41,197.20 × 14,314
  4. Step 4: Simplify right side
    27,489.28x = 589,696,720.80
  5. Step 5: Solve for x
    x = 589,696,720.80/27,489.28
  6. Step 6: Final answer
    x = 21,451.88

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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.