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Finding the Fourth Proportional to 11,138.40, 16,674.80 and 8,229.69

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Solution

The fourth proportional to 11,138.40, 16,674.80 and 8,229.69 is: 12,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.40 : 16,674.80 = 8,229.69 : x
  2. Step 2: Convert to fraction form
    11,138.40/16,674.80 = 8,229.69/x
  3. Step 3: Cross multiply
    11,138.40x = 16,674.80 × 8,229.69
  4. Step 4: Simplify right side
    11,138.40x = 137,228,393.66
  5. Step 5: Solve for x
    x = 137,228,393.66/11,138.40
  6. Step 6: Final answer
    x = 12,320.30

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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.