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Finding the Fourth Proportional to 12,353.46, 17,029.89 and 7,629.54

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Solution

The fourth proportional to 12,353.46, 17,029.89 and 7,629.54 is: 10,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.46 : 17,029.89 = 7,629.54 : x
  2. Step 2: Convert to fraction form
    12,353.46/17,029.89 = 7,629.54/x
  3. Step 3: Cross multiply
    12,353.46x = 17,029.89 × 7,629.54
  4. Step 4: Simplify right side
    12,353.46x = 129,930,226.95
  5. Step 5: Solve for x
    x = 129,930,226.95/12,353.46
  6. Step 6: Final answer
    x = 10,517.72

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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.