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Finding the Fourth Proportional to 11,847.87, 17,727.96 and 9,500.70

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Solution

The fourth proportional to 11,847.87, 17,727.96 and 9,500.70 is: 14,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.87 : 17,727.96 = 9,500.70 : x
  2. Step 2: Convert to fraction form
    11,847.87/17,727.96 = 9,500.70/x
  3. Step 3: Cross multiply
    11,847.87x = 17,727.96 × 9,500.70
  4. Step 4: Simplify right side
    11,847.87x = 168,428,029.57
  5. Step 5: Solve for x
    x = 168,428,029.57/11,847.87
  6. Step 6: Final answer
    x = 14,215.89

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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.