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Finding the Fourth Proportional to 20,007.20, 27,608.04 and 12,824.43

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Solution

The fourth proportional to 20,007.20, 27,608.04 and 12,824.43 is: 17,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.20 : 27,608.04 = 12,824.43 : x
  2. Step 2: Convert to fraction form
    20,007.20/27,608.04 = 12,824.43/x
  3. Step 3: Cross multiply
    20,007.20x = 27,608.04 × 12,824.43
  4. Step 4: Simplify right side
    20,007.20x = 354,057,376.42
  5. Step 5: Solve for x
    x = 354,057,376.42/20,007.20
  6. Step 6: Final answer
    x = 17,696.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.