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Finding the Fourth Proportional to 11,951.66, 17,930.52 and 8,448.56

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Solution

The fourth proportional to 11,951.66, 17,930.52 and 8,448.56 is: 12,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.66 : 17,930.52 = 8,448.56 : x
  2. Step 2: Convert to fraction form
    11,951.66/17,930.52 = 8,448.56/x
  3. Step 3: Cross multiply
    11,951.66x = 17,930.52 × 8,448.56
  4. Step 4: Simplify right side
    11,951.66x = 151,487,074.05
  5. Step 5: Solve for x
    x = 151,487,074.05/11,951.66
  6. Step 6: Final answer
    x = 12,674.98

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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.