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Finding the Fourth Proportional to 12,846.44, 17,727.72 and 7,181.20

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Solution

The fourth proportional to 12,846.44, 17,727.72 and 7,181.20 is: 9,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.44 : 17,727.72 = 7,181.20 : x
  2. Step 2: Convert to fraction form
    12,846.44/17,727.72 = 7,181.20/x
  3. Step 3: Cross multiply
    12,846.44x = 17,727.72 × 7,181.20
  4. Step 4: Simplify right side
    12,846.44x = 127,306,266.96
  5. Step 5: Solve for x
    x = 127,306,266.96/12,846.44
  6. Step 6: Final answer
    x = 9,909.85

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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.