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Finding the Fourth Proportional to 21,317.95, 31,958.69 and 8,179.75

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Solution

The fourth proportional to 21,317.95, 31,958.69 and 8,179.75 is: 12,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,317.95 : 31,958.69 = 8,179.75 : x
  2. Step 2: Convert to fraction form
    21,317.95/31,958.69 = 8,179.75/x
  3. Step 3: Cross multiply
    21,317.95x = 31,958.69 × 8,179.75
  4. Step 4: Simplify right side
    21,317.95x = 261,414,094.53
  5. Step 5: Solve for x
    x = 261,414,094.53/21,317.95
  6. Step 6: Final answer
    x = 12,262.63

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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.