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Finding the Fourth Proportional to 20,286, 30,432.84 and 9,342

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Solution

The fourth proportional to 20,286, 30,432.84 and 9,342 is: 14,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 30,432.84 = 9,342 : x
  2. Step 2: Convert to fraction form
    20,286/30,432.84 = 9,342/x
  3. Step 3: Cross multiply
    20,286x = 30,432.84 × 9,342
  4. Step 4: Simplify right side
    20,286x = 284,303,591.28
  5. Step 5: Solve for x
    x = 284,303,591.28/20,286
  6. Step 6: Final answer
    x = 14,014.77

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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.