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Finding the Fourth Proportional to 20,274, 30,411 and 6,423

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Solution

The fourth proportional to 20,274, 30,411 and 6,423 is: 9,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 30,411 = 6,423 : x
  2. Step 2: Convert to fraction form
    20,274/30,411 = 6,423/x
  3. Step 3: Cross multiply
    20,274x = 30,411 × 6,423
  4. Step 4: Simplify right side
    20,274x = 195,329,853
  5. Step 5: Solve for x
    x = 195,329,853/20,274
  6. Step 6: Final answer
    x = 9,634.50

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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.