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Finding the Fourth Proportional to 12,728.90, 19,096.06 and 3,844.56

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Solution

The fourth proportional to 12,728.90, 19,096.06 and 3,844.56 is: 5,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.90 : 19,096.06 = 3,844.56 : x
  2. Step 2: Convert to fraction form
    12,728.90/19,096.06 = 3,844.56/x
  3. Step 3: Cross multiply
    12,728.90x = 19,096.06 × 3,844.56
  4. Step 4: Simplify right side
    12,728.90x = 73,415,948.43
  5. Step 5: Solve for x
    x = 73,415,948.43/12,728.90
  6. Step 6: Final answer
    x = 5,767.66

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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.