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Finding the Fourth Proportional to 12,843.43, 17,712.07 and 9,859.39

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Solution

The fourth proportional to 12,843.43, 17,712.07 and 9,859.39 is: 13,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.43 : 17,712.07 = 9,859.39 : x
  2. Step 2: Convert to fraction form
    12,843.43/17,712.07 = 9,859.39/x
  3. Step 3: Cross multiply
    12,843.43x = 17,712.07 × 9,859.39
  4. Step 4: Simplify right side
    12,843.43x = 174,630,205.84
  5. Step 5: Solve for x
    x = 174,630,205.84/12,843.43
  6. Step 6: Final answer
    x = 13,596.85

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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.