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Finding the Fourth Proportional to 12,788.62, 17,642.61 and 7,481.09

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Solution

The fourth proportional to 12,788.62, 17,642.61 and 7,481.09 is: 10,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.62 : 17,642.61 = 7,481.09 : x
  2. Step 2: Convert to fraction form
    12,788.62/17,642.61 = 7,481.09/x
  3. Step 3: Cross multiply
    12,788.62x = 17,642.61 × 7,481.09
  4. Step 4: Simplify right side
    12,788.62x = 131,985,997.35
  5. Step 5: Solve for x
    x = 131,985,997.35/12,788.62
  6. Step 6: Final answer
    x = 10,320.58

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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.