Home / 13,738.96-20,576.38-10,032

Finding the Fourth Proportional to 13,738.96, 20,576.38 and 10,032

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Solution

The fourth proportional to 13,738.96, 20,576.38 and 10,032 is: 15,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.96 : 20,576.38 = 10,032 : x
  2. Step 2: Convert to fraction form
    13,738.96/20,576.38 = 10,032/x
  3. Step 3: Cross multiply
    13,738.96x = 20,576.38 × 10,032
  4. Step 4: Simplify right side
    13,738.96x = 206,422,244.16
  5. Step 5: Solve for x
    x = 206,422,244.16/13,738.96
  6. Step 6: Final answer
    x = 15,024.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.