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Finding the Fourth Proportional to 21,278.66, 31,920.17 and 8,142.08

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Solution

The fourth proportional to 21,278.66, 31,920.17 and 8,142.08 is: 12,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.66 : 31,920.17 = 8,142.08 : x
  2. Step 2: Convert to fraction form
    21,278.66/31,920.17 = 8,142.08/x
  3. Step 3: Cross multiply
    21,278.66x = 31,920.17 × 8,142.08
  4. Step 4: Simplify right side
    21,278.66x = 259,896,577.75
  5. Step 5: Solve for x
    x = 259,896,577.75/21,278.66
  6. Step 6: Final answer
    x = 12,213.95

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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.