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Finding the Fourth Proportional to 12,682.45, 17,505.84 and 8,906.53

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Solution

The fourth proportional to 12,682.45, 17,505.84 and 8,906.53 is: 12,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.45 : 17,505.84 = 8,906.53 : x
  2. Step 2: Convert to fraction form
    12,682.45/17,505.84 = 8,906.53/x
  3. Step 3: Cross multiply
    12,682.45x = 17,505.84 × 8,906.53
  4. Step 4: Simplify right side
    12,682.45x = 155,916,289.14
  5. Step 5: Solve for x
    x = 155,916,289.14/12,682.45
  6. Step 6: Final answer
    x = 12,293.86

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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.