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Finding the Fourth Proportional to 12,816.78, 19,227.73 and 4,494.54

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Solution

The fourth proportional to 12,816.78, 19,227.73 and 4,494.54 is: 6,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.78 : 19,227.73 = 4,494.54 : x
  2. Step 2: Convert to fraction form
    12,816.78/19,227.73 = 4,494.54/x
  3. Step 3: Cross multiply
    12,816.78x = 19,227.73 × 4,494.54
  4. Step 4: Simplify right side
    12,816.78x = 86,419,762.73
  5. Step 5: Solve for x
    x = 86,419,762.73/12,816.78
  6. Step 6: Final answer
    x = 6,742.70

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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.