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Finding the Fourth Proportional to 12,951.83, 17,872.83 and 7,644.71

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Solution

The fourth proportional to 12,951.83, 17,872.83 and 7,644.71 is: 10,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.83 : 17,872.83 = 7,644.71 : x
  2. Step 2: Convert to fraction form
    12,951.83/17,872.83 = 7,644.71/x
  3. Step 3: Cross multiply
    12,951.83x = 17,872.83 × 7,644.71
  4. Step 4: Simplify right side
    12,951.83x = 136,632,512.87
  5. Step 5: Solve for x
    x = 136,632,512.87/12,951.83
  6. Step 6: Final answer
    x = 10,549.29

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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.