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Finding the Fourth Proportional to 20,507.67, 30,761.07 and 5,716.20

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Solution

The fourth proportional to 20,507.67, 30,761.07 and 5,716.20 is: 8,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.67 : 30,761.07 = 5,716.20 : x
  2. Step 2: Convert to fraction form
    20,507.67/30,761.07 = 5,716.20/x
  3. Step 3: Cross multiply
    20,507.67x = 30,761.07 × 5,716.20
  4. Step 4: Simplify right side
    20,507.67x = 175,836,428.33
  5. Step 5: Solve for x
    x = 175,836,428.33/20,507.67
  6. Step 6: Final answer
    x = 8,574.18

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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.