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Finding the Fourth Proportional to 12,163.56, 16,785.69 and 6,858.34

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Solution

The fourth proportional to 12,163.56, 16,785.69 and 6,858.34 is: 9,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.56 : 16,785.69 = 6,858.34 : x
  2. Step 2: Convert to fraction form
    12,163.56/16,785.69 = 6,858.34/x
  3. Step 3: Cross multiply
    12,163.56x = 16,785.69 × 6,858.34
  4. Step 4: Simplify right side
    12,163.56x = 115,121,934.86
  5. Step 5: Solve for x
    x = 115,121,934.86/12,163.56
  6. Step 6: Final answer
    x = 9,464.49

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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.