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Finding the Fourth Proportional to 18,676, 25,774.50 and 10,294.12

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Solution

The fourth proportional to 18,676, 25,774.50 and 10,294.12 is: 14,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676 : 25,774.50 = 10,294.12 : x
  2. Step 2: Convert to fraction form
    18,676/25,774.50 = 10,294.12/x
  3. Step 3: Cross multiply
    18,676x = 25,774.50 × 10,294.12
  4. Step 4: Simplify right side
    18,676x = 265,325,795.94
  5. Step 5: Solve for x
    x = 265,325,795.94/18,676
  6. Step 6: Final answer
    x = 14,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.