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Finding the Fourth Proportional to 18,618, 25,692.88 and 10,234.56

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Solution

The fourth proportional to 18,618, 25,692.88 and 10,234.56 is: 14,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,618 : 25,692.88 = 10,234.56 : x
  2. Step 2: Convert to fraction form
    18,618/25,692.88 = 10,234.56/x
  3. Step 3: Cross multiply
    18,618x = 25,692.88 × 10,234.56
  4. Step 4: Simplify right side
    18,618x = 262,955,321.93
  5. Step 5: Solve for x
    x = 262,955,321.93/18,618
  6. Step 6: Final answer
    x = 14,123.71

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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.