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Finding the Fourth Proportional to 12,674.80, 19,012.17 and 3,440.80

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Solution

The fourth proportional to 12,674.80, 19,012.17 and 3,440.80 is: 5,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.80 : 19,012.17 = 3,440.80 : x
  2. Step 2: Convert to fraction form
    12,674.80/19,012.17 = 3,440.80/x
  3. Step 3: Cross multiply
    12,674.80x = 19,012.17 × 3,440.80
  4. Step 4: Simplify right side
    12,674.80x = 65,417,074.54
  5. Step 5: Solve for x
    x = 65,417,074.54/12,674.80
  6. Step 6: Final answer
    x = 5,161.19

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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.