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Finding the Fourth Proportional to 20,993.53, 31,489.77 and 8,510.22

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Solution

The fourth proportional to 20,993.53, 31,489.77 and 8,510.22 is: 12,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.53 : 31,489.77 = 8,510.22 : x
  2. Step 2: Convert to fraction form
    20,993.53/31,489.77 = 8,510.22/x
  3. Step 3: Cross multiply
    20,993.53x = 31,489.77 × 8,510.22
  4. Step 4: Simplify right side
    20,993.53x = 267,984,870.45
  5. Step 5: Solve for x
    x = 267,984,870.45/20,993.53
  6. Step 6: Final answer
    x = 12,765.12

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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.