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Finding the Fourth Proportional to 27,694.32, 38,217.12 and 15,119.12

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Solution

The fourth proportional to 27,694.32, 38,217.12 and 15,119.12 is: 20,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694.32 : 38,217.12 = 15,119.12 : x
  2. Step 2: Convert to fraction form
    27,694.32/38,217.12 = 15,119.12/x
  3. Step 3: Cross multiply
    27,694.32x = 38,217.12 × 15,119.12
  4. Step 4: Simplify right side
    27,694.32x = 577,809,223.33
  5. Step 5: Solve for x
    x = 577,809,223.33/27,694.32
  6. Step 6: Final answer
    x = 20,863.82

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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.