Home / 27,414.16-37,829.64-16,234

Finding the Fourth Proportional to 27,414.16, 37,829.64 and 16,234

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Solution

The fourth proportional to 27,414.16, 37,829.64 and 16,234 is: 22,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.16 : 37,829.64 = 16,234 : x
  2. Step 2: Convert to fraction form
    27,414.16/37,829.64 = 16,234/x
  3. Step 3: Cross multiply
    27,414.16x = 37,829.64 × 16,234
  4. Step 4: Simplify right side
    27,414.16x = 614,126,375.76
  5. Step 5: Solve for x
    x = 614,126,375.76/27,414.16
  6. Step 6: Final answer
    x = 22,401.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.