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Finding the Fourth Proportional to 13,086.83, 18,056.67 and 8,305.03

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Solution

The fourth proportional to 13,086.83, 18,056.67 and 8,305.03 is: 11,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.83 : 18,056.67 = 8,305.03 : x
  2. Step 2: Convert to fraction form
    13,086.83/18,056.67 = 8,305.03/x
  3. Step 3: Cross multiply
    13,086.83x = 18,056.67 × 8,305.03
  4. Step 4: Simplify right side
    13,086.83x = 149,961,144.52
  5. Step 5: Solve for x
    x = 149,961,144.52/13,086.83
  6. Step 6: Final answer
    x = 11,458.94

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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.