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Finding the Fourth Proportional to 12,846.86, 17,723.31 and 8,647.82

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Solution

The fourth proportional to 12,846.86, 17,723.31 and 8,647.82 is: 11,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.86 : 17,723.31 = 8,647.82 : x
  2. Step 2: Convert to fraction form
    12,846.86/17,723.31 = 8,647.82/x
  3. Step 3: Cross multiply
    12,846.86x = 17,723.31 × 8,647.82
  4. Step 4: Simplify right side
    12,846.86x = 153,267,994.68
  5. Step 5: Solve for x
    x = 153,267,994.68/12,846.86
  6. Step 6: Final answer
    x = 11,930.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.