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Finding the Fourth Proportional to 21,311.42, 31,948.90 and 8,173.22

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Solution

The fourth proportional to 21,311.42, 31,948.90 and 8,173.22 is: 12,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.42 : 31,948.90 = 8,173.22 : x
  2. Step 2: Convert to fraction form
    21,311.42/31,948.90 = 8,173.22/x
  3. Step 3: Cross multiply
    21,311.42x = 31,948.90 × 8,173.22
  4. Step 4: Simplify right side
    21,311.42x = 261,125,208.28
  5. Step 5: Solve for x
    x = 261,125,208.28/21,311.42
  6. Step 6: Final answer
    x = 12,252.83

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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.