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Finding the Fourth Proportional to 11,808.20, 17,712.30 and 8,121.80

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Solution

The fourth proportional to 11,808.20, 17,712.30 and 8,121.80 is: 12,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.20 : 17,712.30 = 8,121.80 : x
  2. Step 2: Convert to fraction form
    11,808.20/17,712.30 = 8,121.80/x
  3. Step 3: Cross multiply
    11,808.20x = 17,712.30 × 8,121.80
  4. Step 4: Simplify right side
    11,808.20x = 143,855,758.14
  5. Step 5: Solve for x
    x = 143,855,758.14/11,808.20
  6. Step 6: Final answer
    x = 12,182.70

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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.