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Finding the Fourth Proportional to 15,723.69, 23,578.61 and 8,326.42

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Solution

The fourth proportional to 15,723.69, 23,578.61 and 8,326.42 is: 12,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.69 : 23,578.61 = 8,326.42 : x
  2. Step 2: Convert to fraction form
    15,723.69/23,578.61 = 8,326.42/x
  3. Step 3: Cross multiply
    15,723.69x = 23,578.61 × 8,326.42
  4. Step 4: Simplify right side
    15,723.69x = 196,325,430.69
  5. Step 5: Solve for x
    x = 196,325,430.69/15,723.69
  6. Step 6: Final answer
    x = 12,485.97

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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.