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Finding the Fourth Proportional to 11,518.80, 17,278.20 and 9,769.20

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Solution

The fourth proportional to 11,518.80, 17,278.20 and 9,769.20 is: 14,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.80 : 17,278.20 = 9,769.20 : x
  2. Step 2: Convert to fraction form
    11,518.80/17,278.20 = 9,769.20/x
  3. Step 3: Cross multiply
    11,518.80x = 17,278.20 × 9,769.20
  4. Step 4: Simplify right side
    11,518.80x = 168,794,191.44
  5. Step 5: Solve for x
    x = 168,794,191.44/11,518.80
  6. Step 6: Final answer
    x = 14,653.80

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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.