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Finding the Fourth Proportional to 12,847.41, 17,729.28 and 7,542.72

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Solution

The fourth proportional to 12,847.41, 17,729.28 and 7,542.72 is: 10,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.41 : 17,729.28 = 7,542.72 : x
  2. Step 2: Convert to fraction form
    12,847.41/17,729.28 = 7,542.72/x
  3. Step 3: Cross multiply
    12,847.41x = 17,729.28 × 7,542.72
  4. Step 4: Simplify right side
    12,847.41x = 133,726,994.84
  5. Step 5: Solve for x
    x = 133,726,994.84/12,847.41
  6. Step 6: Final answer
    x = 10,408.87

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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.