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Finding the Fourth Proportional to 12,542.72, 18,814.83 and 4,222.04

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Solution

The fourth proportional to 12,542.72, 18,814.83 and 4,222.04 is: 6,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.72 : 18,814.83 = 4,222.04 : x
  2. Step 2: Convert to fraction form
    12,542.72/18,814.83 = 4,222.04/x
  3. Step 3: Cross multiply
    12,542.72x = 18,814.83 × 4,222.04
  4. Step 4: Simplify right side
    12,542.72x = 79,436,870.78
  5. Step 5: Solve for x
    x = 79,436,870.78/12,542.72
  6. Step 6: Final answer
    x = 6,333.31

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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.