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Finding the Fourth Proportional to 19,618.38, 27,076.95 and 11,665.14

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Solution

The fourth proportional to 19,618.38, 27,076.95 and 11,665.14 is: 16,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618.38 : 27,076.95 = 11,665.14 : x
  2. Step 2: Convert to fraction form
    19,618.38/27,076.95 = 11,665.14/x
  3. Step 3: Cross multiply
    19,618.38x = 27,076.95 × 11,665.14
  4. Step 4: Simplify right side
    19,618.38x = 315,856,412.52
  5. Step 5: Solve for x
    x = 315,856,412.52/19,618.38
  6. Step 6: Final answer
    x = 16,100.03

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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.