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Finding the Fourth Proportional to 12,844.68, 17,725.28 and 7,179.44

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Solution

The fourth proportional to 12,844.68, 17,725.28 and 7,179.44 is: 9,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.68 : 17,725.28 = 7,179.44 : x
  2. Step 2: Convert to fraction form
    12,844.68/17,725.28 = 7,179.44/x
  3. Step 3: Cross multiply
    12,844.68x = 17,725.28 × 7,179.44
  4. Step 4: Simplify right side
    12,844.68x = 127,257,500.10
  5. Step 5: Solve for x
    x = 127,257,500.10/12,844.68
  6. Step 6: Final answer
    x = 9,907.41

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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.