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Finding the Fourth Proportional to 20,457.97, 30,687.56 and 7,977.49

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Solution

The fourth proportional to 20,457.97, 30,687.56 and 7,977.49 is: 11,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.97 : 30,687.56 = 7,977.49 : x
  2. Step 2: Convert to fraction form
    20,457.97/30,687.56 = 7,977.49/x
  3. Step 3: Cross multiply
    20,457.97x = 30,687.56 × 7,977.49
  4. Step 4: Simplify right side
    20,457.97x = 244,809,616.33
  5. Step 5: Solve for x
    x = 244,809,616.33/20,457.97
  6. Step 6: Final answer
    x = 11,966.47

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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.