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Finding the Fourth Proportional to 12,179.75, 16,796.40 and 7,400.48

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Solution

The fourth proportional to 12,179.75, 16,796.40 and 7,400.48 is: 10,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.75 : 16,796.40 = 7,400.48 : x
  2. Step 2: Convert to fraction form
    12,179.75/16,796.40 = 7,400.48/x
  3. Step 3: Cross multiply
    12,179.75x = 16,796.40 × 7,400.48
  4. Step 4: Simplify right side
    12,179.75x = 124,301,338.29
  5. Step 5: Solve for x
    x = 124,301,338.29/12,179.75
  6. Step 6: Final answer
    x = 10,205.58

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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.