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Finding the Fourth Proportional to 12,851.78, 19,278.60 and 5,455.40

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Solution

The fourth proportional to 12,851.78, 19,278.60 and 5,455.40 is: 8,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.78 : 19,278.60 = 5,455.40 : x
  2. Step 2: Convert to fraction form
    12,851.78/19,278.60 = 5,455.40/x
  3. Step 3: Cross multiply
    12,851.78x = 19,278.60 × 5,455.40
  4. Step 4: Simplify right side
    12,851.78x = 105,172,474.44
  5. Step 5: Solve for x
    x = 105,172,474.44/12,851.78
  6. Step 6: Final answer
    x = 8,183.49

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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.