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Finding the Fourth Proportional to 12,877.72, 19,313.46 and 3,517.78

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Solution

The fourth proportional to 12,877.72, 19,313.46 and 3,517.78 is: 5,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.72 : 19,313.46 = 3,517.78 : x
  2. Step 2: Convert to fraction form
    12,877.72/19,313.46 = 3,517.78/x
  3. Step 3: Cross multiply
    12,877.72x = 19,313.46 × 3,517.78
  4. Step 4: Simplify right side
    12,877.72x = 67,940,485.73
  5. Step 5: Solve for x
    x = 67,940,485.73/12,877.72
  6. Step 6: Final answer
    x = 5,275.82

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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.