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Finding the Fourth Proportional to 12,523.92, 17,283.40 and 6,935.44

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Solution

The fourth proportional to 12,523.92, 17,283.40 and 6,935.44 is: 9,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.92 : 17,283.40 = 6,935.44 : x
  2. Step 2: Convert to fraction form
    12,523.92/17,283.40 = 6,935.44/x
  3. Step 3: Cross multiply
    12,523.92x = 17,283.40 × 6,935.44
  4. Step 4: Simplify right side
    12,523.92x = 119,867,983.70
  5. Step 5: Solve for x
    x = 119,867,983.70/12,523.92
  6. Step 6: Final answer
    x = 9,571.12

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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.