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Finding the Fourth Proportional to 13,029.44, 17,982.96 and 7,727.20

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Solution

The fourth proportional to 13,029.44, 17,982.96 and 7,727.20 is: 10,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.44 : 17,982.96 = 7,727.20 : x
  2. Step 2: Convert to fraction form
    13,029.44/17,982.96 = 7,727.20/x
  3. Step 3: Cross multiply
    13,029.44x = 17,982.96 × 7,727.20
  4. Step 4: Simplify right side
    13,029.44x = 138,957,928.51
  5. Step 5: Solve for x
    x = 138,957,928.51/13,029.44
  6. Step 6: Final answer
    x = 10,664.92

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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.