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Finding the Fourth Proportional to 13,528.22, 18,667.67 and 8,149.82

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Solution

The fourth proportional to 13,528.22, 18,667.67 and 8,149.82 is: 11,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.22 : 18,667.67 = 8,149.82 : x
  2. Step 2: Convert to fraction form
    13,528.22/18,667.67 = 8,149.82/x
  3. Step 3: Cross multiply
    13,528.22x = 18,667.67 × 8,149.82
  4. Step 4: Simplify right side
    13,528.22x = 152,138,016.23
  5. Step 5: Solve for x
    x = 152,138,016.23/13,528.22
  6. Step 6: Final answer
    x = 11,245.98

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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.