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Finding the Fourth Proportional to 27,680.49, 38,200.73 and 20,955.46

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Solution

The fourth proportional to 27,680.49, 38,200.73 and 20,955.46 is: 28,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.49 : 38,200.73 = 20,955.46 : x
  2. Step 2: Convert to fraction form
    27,680.49/38,200.73 = 20,955.46/x
  3. Step 3: Cross multiply
    27,680.49x = 38,200.73 × 20,955.46
  4. Step 4: Simplify right side
    27,680.49x = 800,513,869.49
  5. Step 5: Solve for x
    x = 800,513,869.49/27,680.49
  6. Step 6: Final answer
    x = 28,919.79

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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.