Home / 27,744.32-38,284.16-16,414.24

Finding the Fourth Proportional to 27,744.32, 38,284.16 and 16,414.24

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Solution

The fourth proportional to 27,744.32, 38,284.16 and 16,414.24 is: 22,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.32 : 38,284.16 = 16,414.24 : x
  2. Step 2: Convert to fraction form
    27,744.32/38,284.16 = 16,414.24/x
  3. Step 3: Cross multiply
    27,744.32x = 38,284.16 × 16,414.24
  4. Step 4: Simplify right side
    27,744.32x = 628,405,390.44
  5. Step 5: Solve for x
    x = 628,405,390.44/27,744.32
  6. Step 6: Final answer
    x = 22,649.88

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1.5x scale

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.