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Finding the Fourth Proportional to 11,227.65, 16,859.70 and 8,129.40

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Solution

The fourth proportional to 11,227.65, 16,859.70 and 8,129.40 is: 12,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.65 : 16,859.70 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    11,227.65/16,859.70 = 8,129.40/x
  3. Step 3: Cross multiply
    11,227.65x = 16,859.70 × 8,129.40
  4. Step 4: Simplify right side
    11,227.65x = 137,059,245.18
  5. Step 5: Solve for x
    x = 137,059,245.18/11,227.65
  6. Step 6: Final answer
    x = 12,207.30

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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.