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Finding the Fourth Proportional to 13,205.50, 18,232.02 and 11,786.72

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Solution

The fourth proportional to 13,205.50, 18,232.02 and 11,786.72 is: 16,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.50 : 18,232.02 = 11,786.72 : x
  2. Step 2: Convert to fraction form
    13,205.50/18,232.02 = 11,786.72/x
  3. Step 3: Cross multiply
    13,205.50x = 18,232.02 × 11,786.72
  4. Step 4: Simplify right side
    13,205.50x = 214,895,623.61
  5. Step 5: Solve for x
    x = 214,895,623.61/13,205.50
  6. Step 6: Final answer
    x = 16,273.19

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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.