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Finding the Fourth Proportional to 20,160.98, 27,815.73 and 12,200.66

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Solution

The fourth proportional to 20,160.98, 27,815.73 and 12,200.66 is: 16,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.98 : 27,815.73 = 12,200.66 : x
  2. Step 2: Convert to fraction form
    20,160.98/27,815.73 = 12,200.66/x
  3. Step 3: Cross multiply
    20,160.98x = 27,815.73 × 12,200.66
  4. Step 4: Simplify right side
    20,160.98x = 339,370,264.38
  5. Step 5: Solve for x
    x = 339,370,264.38/20,160.98
  6. Step 6: Final answer
    x = 16,833.02

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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.