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Finding the Fourth Proportional to 11,826.88, 16,321.20 and 8,996.80

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Solution

The fourth proportional to 11,826.88, 16,321.20 and 8,996.80 is: 12,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.88 : 16,321.20 = 8,996.80 : x
  2. Step 2: Convert to fraction form
    11,826.88/16,321.20 = 8,996.80/x
  3. Step 3: Cross multiply
    11,826.88x = 16,321.20 × 8,996.80
  4. Step 4: Simplify right side
    11,826.88x = 146,838,572.16
  5. Step 5: Solve for x
    x = 146,838,572.16/11,826.88
  6. Step 6: Final answer
    x = 12,415.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.