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Finding the Fourth Proportional to 12,014.69, 17,996.90 and 9,661.95

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Solution

The fourth proportional to 12,014.69, 17,996.90 and 9,661.95 is: 14,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.69 : 17,996.90 = 9,661.95 : x
  2. Step 2: Convert to fraction form
    12,014.69/17,996.90 = 9,661.95/x
  3. Step 3: Cross multiply
    12,014.69x = 17,996.90 × 9,661.95
  4. Step 4: Simplify right side
    12,014.69x = 173,885,099.65
  5. Step 5: Solve for x
    x = 173,885,099.65/12,014.69
  6. Step 6: Final answer
    x = 14,472.71

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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.