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Finding the Fourth Proportional to 21,278.44, 29,366.30 and 11,847

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Solution

The fourth proportional to 21,278.44, 29,366.30 and 11,847 is: 16,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.44 : 29,366.30 = 11,847 : x
  2. Step 2: Convert to fraction form
    21,278.44/29,366.30 = 11,847/x
  3. Step 3: Cross multiply
    21,278.44x = 29,366.30 × 11,847
  4. Step 4: Simplify right side
    21,278.44x = 347,902,496.87
  5. Step 5: Solve for x
    x = 347,902,496.87/21,278.44
  6. Step 6: Final answer
    x = 16,350.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.