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Finding the Fourth Proportional to 12,674.96, 19,012.70 and 3,909.88

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Solution

The fourth proportional to 12,674.96, 19,012.70 and 3,909.88 is: 5,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.96 : 19,012.70 = 3,909.88 : x
  2. Step 2: Convert to fraction form
    12,674.96/19,012.70 = 3,909.88/x
  3. Step 3: Cross multiply
    12,674.96x = 19,012.70 × 3,909.88
  4. Step 4: Simplify right side
    12,674.96x = 74,337,375.48
  5. Step 5: Solve for x
    x = 74,337,375.48/12,674.96
  6. Step 6: Final answer
    x = 5,864.90

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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.