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Finding the Fourth Proportional to 12,727.44, 19,075.46 and 9,229.46

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Solution

The fourth proportional to 12,727.44, 19,075.46 and 9,229.46 is: 13,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.44 : 19,075.46 = 9,229.46 : x
  2. Step 2: Convert to fraction form
    12,727.44/19,075.46 = 9,229.46/x
  3. Step 3: Cross multiply
    12,727.44x = 19,075.46 × 9,229.46
  4. Step 4: Simplify right side
    12,727.44x = 176,056,195.05
  5. Step 5: Solve for x
    x = 176,056,195.05/12,727.44
  6. Step 6: Final answer
    x = 13,832.80

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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.