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Finding the Fourth Proportional to 12,426.67, 18,642.57 and 4,107.43

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Solution

The fourth proportional to 12,426.67, 18,642.57 and 4,107.43 is: 6,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.67 : 18,642.57 = 4,107.43 : x
  2. Step 2: Convert to fraction form
    12,426.67/18,642.57 = 4,107.43/x
  3. Step 3: Cross multiply
    12,426.67x = 18,642.57 × 4,107.43
  4. Step 4: Simplify right side
    12,426.67x = 76,573,051.30
  5. Step 5: Solve for x
    x = 76,573,051.30/12,426.67
  6. Step 6: Final answer
    x = 6,161.99

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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.