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Finding the Fourth Proportional to 12,961.16, 17,880 and 8,246.96

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Solution

The fourth proportional to 12,961.16, 17,880 and 8,246.96 is: 11,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.16 : 17,880 = 8,246.96 : x
  2. Step 2: Convert to fraction form
    12,961.16/17,880 = 8,246.96/x
  3. Step 3: Cross multiply
    12,961.16x = 17,880 × 8,246.96
  4. Step 4: Simplify right side
    12,961.16x = 147,455,644.80
  5. Step 5: Solve for x
    x = 147,455,644.80/12,961.16
  6. Step 6: Final answer
    x = 11,376.73

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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.