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Finding the Fourth Proportional to 12,935.12, 17,850.24 and 7,630.43

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Solution

The fourth proportional to 12,935.12, 17,850.24 and 7,630.43 is: 10,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935.12 : 17,850.24 = 7,630.43 : x
  2. Step 2: Convert to fraction form
    12,935.12/17,850.24 = 7,630.43/x
  3. Step 3: Cross multiply
    12,935.12x = 17,850.24 × 7,630.43
  4. Step 4: Simplify right side
    12,935.12x = 136,204,917.55
  5. Step 5: Solve for x
    x = 136,204,917.55/12,935.12
  6. Step 6: Final answer
    x = 10,529.86

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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.