Home / 27,543.90-41,317.56-7,824

Finding the Fourth Proportional to 27,543.90, 41,317.56 and 7,824

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Solution

The fourth proportional to 27,543.90, 41,317.56 and 7,824 is: 11,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.90 : 41,317.56 = 7,824 : x
  2. Step 2: Convert to fraction form
    27,543.90/41,317.56 = 7,824/x
  3. Step 3: Cross multiply
    27,543.90x = 41,317.56 × 7,824
  4. Step 4: Simplify right side
    27,543.90x = 323,268,589.44
  5. Step 5: Solve for x
    x = 323,268,589.44/27,543.90
  6. Step 6: Final answer
    x = 11,736.49

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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.