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Finding the Fourth Proportional to 13,182.82, 18,212.06 and 8,656.24

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Solution

The fourth proportional to 13,182.82, 18,212.06 and 8,656.24 is: 11,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.82 : 18,212.06 = 8,656.24 : x
  2. Step 2: Convert to fraction form
    13,182.82/18,212.06 = 8,656.24/x
  3. Step 3: Cross multiply
    13,182.82x = 18,212.06 × 8,656.24
  4. Step 4: Simplify right side
    13,182.82x = 157,647,962.25
  5. Step 5: Solve for x
    x = 157,647,962.25/13,182.82
  6. Step 6: Final answer
    x = 11,958.59

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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.