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Finding the Fourth Proportional to 11,718.96, 17,566.08 and 8,020.20

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Solution

The fourth proportional to 11,718.96, 17,566.08 and 8,020.20 is: 12,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.96 : 17,566.08 = 8,020.20 : x
  2. Step 2: Convert to fraction form
    11,718.96/17,566.08 = 8,020.20/x
  3. Step 3: Cross multiply
    11,718.96x = 17,566.08 × 8,020.20
  4. Step 4: Simplify right side
    11,718.96x = 140,883,474.82
  5. Step 5: Solve for x
    x = 140,883,474.82/11,718.96
  6. Step 6: Final answer
    x = 12,021.84

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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.