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Finding the Fourth Proportional to 12,945.94, 19,414.80 and 5,548.42

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Solution

The fourth proportional to 12,945.94, 19,414.80 and 5,548.42 is: 8,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.94 : 19,414.80 = 5,548.42 : x
  2. Step 2: Convert to fraction form
    12,945.94/19,414.80 = 5,548.42/x
  3. Step 3: Cross multiply
    12,945.94x = 19,414.80 × 5,548.42
  4. Step 4: Simplify right side
    12,945.94x = 107,721,464.62
  5. Step 5: Solve for x
    x = 107,721,464.62/12,945.94
  6. Step 6: Final answer
    x = 8,320.87

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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.