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Finding the Fourth Proportional to 12,843.21, 17,721.84 and 7,177.24

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Solution

The fourth proportional to 12,843.21, 17,721.84 and 7,177.24 is: 9,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.21 : 17,721.84 = 7,177.24 : x
  2. Step 2: Convert to fraction form
    12,843.21/17,721.84 = 7,177.24/x
  3. Step 3: Cross multiply
    12,843.21x = 17,721.84 × 7,177.24
  4. Step 4: Simplify right side
    12,843.21x = 127,193,898.92
  5. Step 5: Solve for x
    x = 127,193,898.92/12,843.21
  6. Step 6: Final answer
    x = 9,903.59

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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.