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Finding the Fourth Proportional to 14,629.28, 21,944.46 and 6,836

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Solution

The fourth proportional to 14,629.28, 21,944.46 and 6,836 is: 10,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.28 : 21,944.46 = 6,836 : x
  2. Step 2: Convert to fraction form
    14,629.28/21,944.46 = 6,836/x
  3. Step 3: Cross multiply
    14,629.28x = 21,944.46 × 6,836
  4. Step 4: Simplify right side
    14,629.28x = 150,012,328.56
  5. Step 5: Solve for x
    x = 150,012,328.56/14,629.28
  6. Step 6: Final answer
    x = 10,254.25

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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.