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Finding the Fourth Proportional to 27,791.38, 38,352.10 and 15,216.12

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Solution

The fourth proportional to 27,791.38, 38,352.10 and 15,216.12 is: 20,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.38 : 38,352.10 = 15,216.12 : x
  2. Step 2: Convert to fraction form
    27,791.38/38,352.10 = 15,216.12/x
  3. Step 3: Cross multiply
    27,791.38x = 38,352.10 × 15,216.12
  4. Step 4: Simplify right side
    27,791.38x = 583,570,155.85
  5. Step 5: Solve for x
    x = 583,570,155.85/27,791.38
  6. Step 6: Final answer
    x = 20,998.24

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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.