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Finding the Fourth Proportional to 12,644.62, 17,431.44 and 9,951.17

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Solution

The fourth proportional to 12,644.62, 17,431.44 and 9,951.17 is: 13,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.62 : 17,431.44 = 9,951.17 : x
  2. Step 2: Convert to fraction form
    12,644.62/17,431.44 = 9,951.17/x
  3. Step 3: Cross multiply
    12,644.62x = 17,431.44 × 9,951.17
  4. Step 4: Simplify right side
    12,644.62x = 173,463,085.87
  5. Step 5: Solve for x
    x = 173,463,085.87/12,644.62
  6. Step 6: Final answer
    x = 13,718.34

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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.