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Finding the Fourth Proportional to 21,278.30, 31,919.67 and 8,141.66

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Solution

The fourth proportional to 21,278.30, 31,919.67 and 8,141.66 is: 12,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.30 : 31,919.67 = 8,141.66 : x
  2. Step 2: Convert to fraction form
    21,278.30/31,919.67 = 8,141.66/x
  3. Step 3: Cross multiply
    21,278.30x = 31,919.67 × 8,141.66
  4. Step 4: Simplify right side
    21,278.30x = 259,879,100.45
  5. Step 5: Solve for x
    x = 259,879,100.45/21,278.30
  6. Step 6: Final answer
    x = 12,213.34

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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.