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Finding the Fourth Proportional to 12,850.86, 17,728.82 and 8,651.82

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Solution

The fourth proportional to 12,850.86, 17,728.82 and 8,651.82 is: 11,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.86 : 17,728.82 = 8,651.82 : x
  2. Step 2: Convert to fraction form
    12,850.86/17,728.82 = 8,651.82/x
  3. Step 3: Cross multiply
    12,850.86x = 17,728.82 × 8,651.82
  4. Step 4: Simplify right side
    12,850.86x = 153,386,559.45
  5. Step 5: Solve for x
    x = 153,386,559.45/12,850.86
  6. Step 6: Final answer
    x = 11,935.90

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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.