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Finding the Fourth Proportional to 14,246.80, 21,361.92 and 6,847.96

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Solution

The fourth proportional to 14,246.80, 21,361.92 and 6,847.96 is: 10,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.80 : 21,361.92 = 6,847.96 : x
  2. Step 2: Convert to fraction form
    14,246.80/21,361.92 = 6,847.96/x
  3. Step 3: Cross multiply
    14,246.80x = 21,361.92 × 6,847.96
  4. Step 4: Simplify right side
    14,246.80x = 146,285,573.68
  5. Step 5: Solve for x
    x = 146,285,573.68/14,246.80
  6. Step 6: Final answer
    x = 10,267.96

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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.