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Finding the Fourth Proportional to 11,986.08, 17,976.96 and 8,509.20

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Solution

The fourth proportional to 11,986.08, 17,976.96 and 8,509.20 is: 12,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.08 : 17,976.96 = 8,509.20 : x
  2. Step 2: Convert to fraction form
    11,986.08/17,976.96 = 8,509.20/x
  3. Step 3: Cross multiply
    11,986.08x = 17,976.96 × 8,509.20
  4. Step 4: Simplify right side
    11,986.08x = 152,969,548.03
  5. Step 5: Solve for x
    x = 152,969,548.03/11,986.08
  6. Step 6: Final answer
    x = 12,762.27

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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.