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Finding the Fourth Proportional to 27,872.25, 38,468.57 and 16,694.25

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Solution

The fourth proportional to 27,872.25, 38,468.57 and 16,694.25 is: 23,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.25 : 38,468.57 = 16,694.25 : x
  2. Step 2: Convert to fraction form
    27,872.25/38,468.57 = 16,694.25/x
  3. Step 3: Cross multiply
    27,872.25x = 38,468.57 × 16,694.25
  4. Step 4: Simplify right side
    27,872.25x = 642,203,841.25
  5. Step 5: Solve for x
    x = 642,203,841.25/27,872.25
  6. Step 6: Final answer
    x = 23,040.98

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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.