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Finding the Fourth Proportional to 13,874, 20,813.07 and 5,108.24

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Solution

The fourth proportional to 13,874, 20,813.07 and 5,108.24 is: 7,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 20,813.07 = 5,108.24 : x
  2. Step 2: Convert to fraction form
    13,874/20,813.07 = 5,108.24/x
  3. Step 3: Cross multiply
    13,874x = 20,813.07 × 5,108.24
  4. Step 4: Simplify right side
    13,874x = 106,318,156.70
  5. Step 5: Solve for x
    x = 106,318,156.70/13,874
  6. Step 6: Final answer
    x = 7,663.12

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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.