Home / 27,824.77-41,744-8,103.51

Finding the Fourth Proportional to 27,824.77, 41,744 and 8,103.51

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Solution

The fourth proportional to 27,824.77, 41,744 and 8,103.51 is: 12,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.77 : 41,744 = 8,103.51 : x
  2. Step 2: Convert to fraction form
    27,824.77/41,744 = 8,103.51/x
  3. Step 3: Cross multiply
    27,824.77x = 41,744 × 8,103.51
  4. Step 4: Simplify right side
    27,824.77x = 338,272,921.44
  5. Step 5: Solve for x
    x = 338,272,921.44/27,824.77
  6. Step 6: Final answer
    x = 12,157.26

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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.