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Finding the Fourth Proportional to 12,446.92, 17,176.42 and 6,857.80

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Solution

The fourth proportional to 12,446.92, 17,176.42 and 6,857.80 is: 9,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.92 : 17,176.42 = 6,857.80 : x
  2. Step 2: Convert to fraction form
    12,446.92/17,176.42 = 6,857.80/x
  3. Step 3: Cross multiply
    12,446.92x = 17,176.42 × 6,857.80
  4. Step 4: Simplify right side
    12,446.92x = 117,792,453.08
  5. Step 5: Solve for x
    x = 117,792,453.08/12,446.92
  6. Step 6: Final answer
    x = 9,463.58

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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.