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Finding the Fourth Proportional to 20,872.88, 31,311.14 and 5,290.50

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Solution

The fourth proportional to 20,872.88, 31,311.14 and 5,290.50 is: 7,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.88 : 31,311.14 = 5,290.50 : x
  2. Step 2: Convert to fraction form
    20,872.88/31,311.14 = 5,290.50/x
  3. Step 3: Cross multiply
    20,872.88x = 31,311.14 × 5,290.50
  4. Step 4: Simplify right side
    20,872.88x = 165,651,559.72
  5. Step 5: Solve for x
    x = 165,651,559.72/20,872.88
  6. Step 6: Final answer
    x = 7,936.21

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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.