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Finding the Fourth Proportional to 11,772.72, 17,642.66 and 8,847.60

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Solution

The fourth proportional to 11,772.72, 17,642.66 and 8,847.60 is: 13,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.72 : 17,642.66 = 8,847.60 : x
  2. Step 2: Convert to fraction form
    11,772.72/17,642.66 = 8,847.60/x
  3. Step 3: Cross multiply
    11,772.72x = 17,642.66 × 8,847.60
  4. Step 4: Simplify right side
    11,772.72x = 156,095,198.62
  5. Step 5: Solve for x
    x = 156,095,198.62/11,772.72
  6. Step 6: Final answer
    x = 13,259.06

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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.