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Finding the Fourth Proportional to 11,764.20, 17,623.22 and 6,823.46

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Solution

The fourth proportional to 11,764.20, 17,623.22 and 6,823.46 is: 10,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.20 : 17,623.22 = 6,823.46 : x
  2. Step 2: Convert to fraction form
    11,764.20/17,623.22 = 6,823.46/x
  3. Step 3: Cross multiply
    11,764.20x = 17,623.22 × 6,823.46
  4. Step 4: Simplify right side
    11,764.20x = 120,251,285.93
  5. Step 5: Solve for x
    x = 120,251,285.93/11,764.20
  6. Step 6: Final answer
    x = 10,221.80

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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.