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Finding the Fourth Proportional to 20,720.67, 31,062.38 and 7,563.84

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Solution

The fourth proportional to 20,720.67, 31,062.38 and 7,563.84 is: 11,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.67 : 31,062.38 = 7,563.84 : x
  2. Step 2: Convert to fraction form
    20,720.67/31,062.38 = 7,563.84/x
  3. Step 3: Cross multiply
    20,720.67x = 31,062.38 × 7,563.84
  4. Step 4: Simplify right side
    20,720.67x = 234,950,834.52
  5. Step 5: Solve for x
    x = 234,950,834.52/20,720.67
  6. Step 6: Final answer
    x = 11,338.96

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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.