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Finding the Fourth Proportional to 21,278.46, 31,919.80 and 8,141.88

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Solution

The fourth proportional to 21,278.46, 31,919.80 and 8,141.88 is: 12,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.46 : 31,919.80 = 8,141.88 : x
  2. Step 2: Convert to fraction form
    21,278.46/31,919.80 = 8,141.88/x
  3. Step 3: Cross multiply
    21,278.46x = 31,919.80 × 8,141.88
  4. Step 4: Simplify right side
    21,278.46x = 259,887,181.22
  5. Step 5: Solve for x
    x = 259,887,181.22/21,278.46
  6. Step 6: Final answer
    x = 12,213.63

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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.