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Finding the Fourth Proportional to 12,205.69, 18,294.36 and 8,044.72

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Solution

The fourth proportional to 12,205.69, 18,294.36 and 8,044.72 is: 12,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.69 : 18,294.36 = 8,044.72 : x
  2. Step 2: Convert to fraction form
    12,205.69/18,294.36 = 8,044.72/x
  3. Step 3: Cross multiply
    12,205.69x = 18,294.36 × 8,044.72
  4. Step 4: Simplify right side
    12,205.69x = 147,173,003.78
  5. Step 5: Solve for x
    x = 147,173,003.78/12,205.69
  6. Step 6: Final answer
    x = 12,057.74

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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.