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Finding the Fourth Proportional to 12,519.69, 18,779.94 and 5,942.49

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Solution

The fourth proportional to 12,519.69, 18,779.94 and 5,942.49 is: 8,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519.69 : 18,779.94 = 5,942.49 : x
  2. Step 2: Convert to fraction form
    12,519.69/18,779.94 = 5,942.49/x
  3. Step 3: Cross multiply
    12,519.69x = 18,779.94 × 5,942.49
  4. Step 4: Simplify right side
    12,519.69x = 111,599,605.65
  5. Step 5: Solve for x
    x = 111,599,605.65/12,519.69
  6. Step 6: Final answer
    x = 8,913.93

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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.