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Finding the Fourth Proportional to 28,175.49, 38,882.12 and 16,238.75

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Solution

The fourth proportional to 28,175.49, 38,882.12 and 16,238.75 is: 22,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,175.49 : 38,882.12 = 16,238.75 : x
  2. Step 2: Convert to fraction form
    28,175.49/38,882.12 = 16,238.75/x
  3. Step 3: Cross multiply
    28,175.49x = 38,882.12 × 16,238.75
  4. Step 4: Simplify right side
    28,175.49x = 631,396,750.55
  5. Step 5: Solve for x
    x = 631,396,750.55/28,175.49
  6. Step 6: Final answer
    x = 22,409.43

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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.