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Finding the Fourth Proportional to 12,950.70, 19,427.12 and 5,456.43

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Solution

The fourth proportional to 12,950.70, 19,427.12 and 5,456.43 is: 8,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.70 : 19,427.12 = 5,456.43 : x
  2. Step 2: Convert to fraction form
    12,950.70/19,427.12 = 5,456.43/x
  3. Step 3: Cross multiply
    12,950.70x = 19,427.12 × 5,456.43
  4. Step 4: Simplify right side
    12,950.70x = 106,002,698.21
  5. Step 5: Solve for x
    x = 106,002,698.21/12,950.70
  6. Step 6: Final answer
    x = 8,185.09

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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.