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Finding the Fourth Proportional to 19,920.40, 29,891.40 and 8,234.80

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Solution

The fourth proportional to 19,920.40, 29,891.40 and 8,234.80 is: 12,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.40 : 29,891.40 = 8,234.80 : x
  2. Step 2: Convert to fraction form
    19,920.40/29,891.40 = 8,234.80/x
  3. Step 3: Cross multiply
    19,920.40x = 29,891.40 × 8,234.80
  4. Step 4: Simplify right side
    19,920.40x = 246,149,700.72
  5. Step 5: Solve for x
    x = 246,149,700.72/19,920.40
  6. Step 6: Final answer
    x = 12,356.66

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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.