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Finding the Fourth Proportional to 18,517.16, 27,782.58 and 8,659.64

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Solution

The fourth proportional to 18,517.16, 27,782.58 and 8,659.64 is: 12,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517.16 : 27,782.58 = 8,659.64 : x
  2. Step 2: Convert to fraction form
    18,517.16/27,782.58 = 8,659.64/x
  3. Step 3: Cross multiply
    18,517.16x = 27,782.58 × 8,659.64
  4. Step 4: Simplify right side
    18,517.16x = 240,587,141.07
  5. Step 5: Solve for x
    x = 240,587,141.07/18,517.16
  6. Step 6: Final answer
    x = 12,992.66

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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.