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Finding the Fourth Proportional to 13,031.58, 17,982.42 and 7,725.54

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Solution

The fourth proportional to 13,031.58, 17,982.42 and 7,725.54 is: 10,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.58 : 17,982.42 = 7,725.54 : x
  2. Step 2: Convert to fraction form
    13,031.58/17,982.42 = 7,725.54/x
  3. Step 3: Cross multiply
    13,031.58x = 17,982.42 × 7,725.54
  4. Step 4: Simplify right side
    13,031.58x = 138,923,905.01
  5. Step 5: Solve for x
    x = 138,923,905.01/13,031.58
  6. Step 6: Final answer
    x = 10,660.56

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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.