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Finding the Fourth Proportional to 12,143.36, 16,757.78 and 6,838.22

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Solution

The fourth proportional to 12,143.36, 16,757.78 and 6,838.22 is: 9,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.36 : 16,757.78 = 6,838.22 : x
  2. Step 2: Convert to fraction form
    12,143.36/16,757.78 = 6,838.22/x
  3. Step 3: Cross multiply
    12,143.36x = 16,757.78 × 6,838.22
  4. Step 4: Simplify right side
    12,143.36x = 114,593,386.35
  5. Step 5: Solve for x
    x = 114,593,386.35/12,143.36
  6. Step 6: Final answer
    x = 9,436.71

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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.