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Finding the Fourth Proportional to 12,819.26, 17,691 and 7,441.28

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Solution

The fourth proportional to 12,819.26, 17,691 and 7,441.28 is: 10,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.26 : 17,691 = 7,441.28 : x
  2. Step 2: Convert to fraction form
    12,819.26/17,691 = 7,441.28/x
  3. Step 3: Cross multiply
    12,819.26x = 17,691 × 7,441.28
  4. Step 4: Simplify right side
    12,819.26x = 131,643,684.48
  5. Step 5: Solve for x
    x = 131,643,684.48/12,819.26
  6. Step 6: Final answer
    x = 10,269.21

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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.