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Finding the Fourth Proportional to 12,857.09, 17,744.69 and 8,141.81

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Solution

The fourth proportional to 12,857.09, 17,744.69 and 8,141.81 is: 11,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.09 : 17,744.69 = 8,141.81 : x
  2. Step 2: Convert to fraction form
    12,857.09/17,744.69 = 8,141.81/x
  3. Step 3: Cross multiply
    12,857.09x = 17,744.69 × 8,141.81
  4. Step 4: Simplify right side
    12,857.09x = 144,473,894.49
  5. Step 5: Solve for x
    x = 144,473,894.49/12,857.09
  6. Step 6: Final answer
    x = 11,236.90

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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.