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Finding the Fourth Proportional to 18,567.73, 27,852.81 and 5,419

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Solution

The fourth proportional to 18,567.73, 27,852.81 and 5,419 is: 8,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.73 : 27,852.81 = 5,419 : x
  2. Step 2: Convert to fraction form
    18,567.73/27,852.81 = 5,419/x
  3. Step 3: Cross multiply
    18,567.73x = 27,852.81 × 5,419
  4. Step 4: Simplify right side
    18,567.73x = 150,934,377.39
  5. Step 5: Solve for x
    x = 150,934,377.39/18,567.73
  6. Step 6: Final answer
    x = 8,128.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.