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Finding the Fourth Proportional to 11,768.20, 17,633.10 and 9,809.80

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Solution

The fourth proportional to 11,768.20, 17,633.10 and 9,809.80 is: 14,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.20 : 17,633.10 = 9,809.80 : x
  2. Step 2: Convert to fraction form
    11,768.20/17,633.10 = 9,809.80/x
  3. Step 3: Cross multiply
    11,768.20x = 17,633.10 × 9,809.80
  4. Step 4: Simplify right side
    11,768.20x = 172,977,184.38
  5. Step 5: Solve for x
    x = 172,977,184.38/11,768.20
  6. Step 6: Final answer
    x = 14,698.70

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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.