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Finding the Fourth Proportional to 13,414.54, 18,524.67 and 8,642.86

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Solution

The fourth proportional to 13,414.54, 18,524.67 and 8,642.86 is: 11,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.54 : 18,524.67 = 8,642.86 : x
  2. Step 2: Convert to fraction form
    13,414.54/18,524.67 = 8,642.86/x
  3. Step 3: Cross multiply
    13,414.54x = 18,524.67 × 8,642.86
  4. Step 4: Simplify right side
    13,414.54x = 160,106,129.36
  5. Step 5: Solve for x
    x = 160,106,129.36/13,414.54
  6. Step 6: Final answer
    x = 11,935.27

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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.