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Finding the Fourth Proportional to 27,951.68, 38,576.76 and 16,017.68

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Solution

The fourth proportional to 27,951.68, 38,576.76 and 16,017.68 is: 22,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.68 : 38,576.76 = 16,017.68 : x
  2. Step 2: Convert to fraction form
    27,951.68/38,576.76 = 16,017.68/x
  3. Step 3: Cross multiply
    27,951.68x = 38,576.76 × 16,017.68
  4. Step 4: Simplify right side
    27,951.68x = 617,910,197.12
  5. Step 5: Solve for x
    x = 617,910,197.12/27,951.68
  6. Step 6: Final answer
    x = 22,106.37

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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.