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Finding the Fourth Proportional to 12,942.60, 19,409.10 and 5,149.80

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Solution

The fourth proportional to 12,942.60, 19,409.10 and 5,149.80 is: 7,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.60 : 19,409.10 = 5,149.80 : x
  2. Step 2: Convert to fraction form
    12,942.60/19,409.10 = 5,149.80/x
  3. Step 3: Cross multiply
    12,942.60x = 19,409.10 × 5,149.80
  4. Step 4: Simplify right side
    12,942.60x = 99,952,983.18
  5. Step 5: Solve for x
    x = 99,952,983.18/12,942.60
  6. Step 6: Final answer
    x = 7,722.79

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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.