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Finding the Fourth Proportional to 13,524.92, 18,653.85 and 8,680.12

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Solution

The fourth proportional to 13,524.92, 18,653.85 and 8,680.12 is: 11,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.92 : 18,653.85 = 8,680.12 : x
  2. Step 2: Convert to fraction form
    13,524.92/18,653.85 = 8,680.12/x
  3. Step 3: Cross multiply
    13,524.92x = 18,653.85 × 8,680.12
  4. Step 4: Simplify right side
    13,524.92x = 161,917,656.46
  5. Step 5: Solve for x
    x = 161,917,656.46/13,524.92
  6. Step 6: Final answer
    x = 11,971.80

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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.