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Finding the Fourth Proportional to 20,098.46, 27,735.95 and 11,146.79

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Solution

The fourth proportional to 20,098.46, 27,735.95 and 11,146.79 is: 15,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.46 : 27,735.95 = 11,146.79 : x
  2. Step 2: Convert to fraction form
    20,098.46/27,735.95 = 11,146.79/x
  3. Step 3: Cross multiply
    20,098.46x = 27,735.95 × 11,146.79
  4. Step 4: Simplify right side
    20,098.46x = 309,166,907.31
  5. Step 5: Solve for x
    x = 309,166,907.31/20,098.46
  6. Step 6: Final answer
    x = 15,382.61

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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.