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Finding the Fourth Proportional to 12,847.20, 17,728.84 and 7,542.51

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Solution

The fourth proportional to 12,847.20, 17,728.84 and 7,542.51 is: 10,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.20 : 17,728.84 = 7,542.51 : x
  2. Step 2: Convert to fraction form
    12,847.20/17,728.84 = 7,542.51/x
  3. Step 3: Cross multiply
    12,847.20x = 17,728.84 × 7,542.51
  4. Step 4: Simplify right side
    12,847.20x = 133,719,952.99
  5. Step 5: Solve for x
    x = 133,719,952.99/12,847.20
  6. Step 6: Final answer
    x = 10,408.49

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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.