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Finding the Fourth Proportional to 20,231, 30,346.48 and 6,380

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Solution

The fourth proportional to 20,231, 30,346.48 and 6,380 is: 9,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231 : 30,346.48 = 6,380 : x
  2. Step 2: Convert to fraction form
    20,231/30,346.48 = 6,380/x
  3. Step 3: Cross multiply
    20,231x = 30,346.48 × 6,380
  4. Step 4: Simplify right side
    20,231x = 193,610,542.40
  5. Step 5: Solve for x
    x = 193,610,542.40/20,231
  6. Step 6: Final answer
    x = 9,569.99

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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.