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Finding the Fourth Proportional to 13,465, 20,198.31 and 4,231

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Solution

The fourth proportional to 13,465, 20,198.31 and 4,231 is: 6,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465 : 20,198.31 = 4,231 : x
  2. Step 2: Convert to fraction form
    13,465/20,198.31 = 4,231/x
  3. Step 3: Cross multiply
    13,465x = 20,198.31 × 4,231
  4. Step 4: Simplify right side
    13,465x = 85,459,049.61
  5. Step 5: Solve for x
    x = 85,459,049.61/13,465
  6. Step 6: Final answer
    x = 6,346.75

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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.