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Finding the Fourth Proportional to 13,791.48, 20,661.30 and 6,849.24

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Solution

The fourth proportional to 13,791.48, 20,661.30 and 6,849.24 is: 10,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.48 : 20,661.30 = 6,849.24 : x
  2. Step 2: Convert to fraction form
    13,791.48/20,661.30 = 6,849.24/x
  3. Step 3: Cross multiply
    13,791.48x = 20,661.30 × 6,849.24
  4. Step 4: Simplify right side
    13,791.48x = 141,514,202.41
  5. Step 5: Solve for x
    x = 141,514,202.41/13,791.48
  6. Step 6: Final answer
    x = 10,260.99

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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.