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Finding the Fourth Proportional to 12,452.88, 17,189.57 and 7,673.61

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Solution

The fourth proportional to 12,452.88, 17,189.57 and 7,673.61 is: 10,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.88 : 17,189.57 = 7,673.61 : x
  2. Step 2: Convert to fraction form
    12,452.88/17,189.57 = 7,673.61/x
  3. Step 3: Cross multiply
    12,452.88x = 17,189.57 × 7,673.61
  4. Step 4: Simplify right side
    12,452.88x = 131,906,075.43
  5. Step 5: Solve for x
    x = 131,906,075.43/12,452.88
  6. Step 6: Final answer
    x = 10,592.42

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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.