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Finding the Fourth Proportional to 12,858.97, 17,745.28 and 7,193.69

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Solution

The fourth proportional to 12,858.97, 17,745.28 and 7,193.69 is: 9,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.97 : 17,745.28 = 7,193.69 : x
  2. Step 2: Convert to fraction form
    12,858.97/17,745.28 = 7,193.69/x
  3. Step 3: Cross multiply
    12,858.97x = 17,745.28 × 7,193.69
  4. Step 4: Simplify right side
    12,858.97x = 127,654,007.31
  5. Step 5: Solve for x
    x = 127,654,007.31/12,858.97
  6. Step 6: Final answer
    x = 9,927.24

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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.