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Finding the Fourth Proportional to 12,951.40, 17,847.78 and 9,967.24

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Solution

The fourth proportional to 12,951.40, 17,847.78 and 9,967.24 is: 13,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.40 : 17,847.78 = 9,967.24 : x
  2. Step 2: Convert to fraction form
    12,951.40/17,847.78 = 9,967.24/x
  3. Step 3: Cross multiply
    12,951.40x = 17,847.78 × 9,967.24
  4. Step 4: Simplify right side
    12,951.40x = 177,893,106.73
  5. Step 5: Solve for x
    x = 177,893,106.73/12,951.40
  6. Step 6: Final answer
    x = 13,735.43

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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.