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Finding the Fourth Proportional to 19,677.54, 27,154.65 and 11,293.38

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Solution

The fourth proportional to 19,677.54, 27,154.65 and 11,293.38 is: 15,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.54 : 27,154.65 = 11,293.38 : x
  2. Step 2: Convert to fraction form
    19,677.54/27,154.65 = 11,293.38/x
  3. Step 3: Cross multiply
    19,677.54x = 27,154.65 × 11,293.38
  4. Step 4: Simplify right side
    19,677.54x = 306,667,781.22
  5. Step 5: Solve for x
    x = 306,667,781.22/19,677.54
  6. Step 6: Final answer
    x = 15,584.66

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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.