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Finding the Fourth Proportional to 12,846.53, 17,728.54 and 7,181.89

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Solution

The fourth proportional to 12,846.53, 17,728.54 and 7,181.89 is: 9,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.53 : 17,728.54 = 7,181.89 : x
  2. Step 2: Convert to fraction form
    12,846.53/17,728.54 = 7,181.89/x
  3. Step 3: Cross multiply
    12,846.53x = 17,728.54 × 7,181.89
  4. Step 4: Simplify right side
    12,846.53x = 127,324,361.86
  5. Step 5: Solve for x
    x = 127,324,361.86/12,846.53
  6. Step 6: Final answer
    x = 9,911.19

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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.