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Finding the Fourth Proportional to 19,648.33, 27,106.68 and 12,092.38

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Solution

The fourth proportional to 19,648.33, 27,106.68 and 12,092.38 is: 16,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.33 : 27,106.68 = 12,092.38 : x
  2. Step 2: Convert to fraction form
    19,648.33/27,106.68 = 12,092.38/x
  3. Step 3: Cross multiply
    19,648.33x = 27,106.68 × 12,092.38
  4. Step 4: Simplify right side
    19,648.33x = 327,784,207.33
  5. Step 5: Solve for x
    x = 327,784,207.33/19,648.33
  6. Step 6: Final answer
    x = 16,682.55

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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.