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Finding the Fourth Proportional to 20,989.41, 31,483.46 and 8,506.08

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Solution

The fourth proportional to 20,989.41, 31,483.46 and 8,506.08 is: 12,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.41 : 31,483.46 = 8,506.08 : x
  2. Step 2: Convert to fraction form
    20,989.41/31,483.46 = 8,506.08/x
  3. Step 3: Cross multiply
    20,989.41x = 31,483.46 × 8,506.08
  4. Step 4: Simplify right side
    20,989.41x = 267,800,850.70
  5. Step 5: Solve for x
    x = 267,800,850.70/20,989.41
  6. Step 6: Final answer
    x = 12,758.86

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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.