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Finding the Fourth Proportional to 12,773.40, 17,629.40 and 7,467.20

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Solution

The fourth proportional to 12,773.40, 17,629.40 and 7,467.20 is: 10,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.40 : 17,629.40 = 7,467.20 : x
  2. Step 2: Convert to fraction form
    12,773.40/17,629.40 = 7,467.20/x
  3. Step 3: Cross multiply
    12,773.40x = 17,629.40 × 7,467.20
  4. Step 4: Simplify right side
    12,773.40x = 131,642,255.68
  5. Step 5: Solve for x
    x = 131,642,255.68/12,773.40
  6. Step 6: Final answer
    x = 10,305.97

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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.