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Finding the Fourth Proportional to 13,086.46, 18,053.58 and 8,722

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Solution

The fourth proportional to 13,086.46, 18,053.58 and 8,722 is: 12,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.46 : 18,053.58 = 8,722 : x
  2. Step 2: Convert to fraction form
    13,086.46/18,053.58 = 8,722/x
  3. Step 3: Cross multiply
    13,086.46x = 18,053.58 × 8,722
  4. Step 4: Simplify right side
    13,086.46x = 157,463,324.76
  5. Step 5: Solve for x
    x = 157,463,324.76/13,086.46
  6. Step 6: Final answer
    x = 12,032.54

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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.