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Finding the Fourth Proportional to 15,817.98, 23,770.08 and 8,427.72

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Solution

The fourth proportional to 15,817.98, 23,770.08 and 8,427.72 is: 12,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.98 : 23,770.08 = 8,427.72 : x
  2. Step 2: Convert to fraction form
    15,817.98/23,770.08 = 8,427.72/x
  3. Step 3: Cross multiply
    15,817.98x = 23,770.08 × 8,427.72
  4. Step 4: Simplify right side
    15,817.98x = 200,327,578.62
  5. Step 5: Solve for x
    x = 200,327,578.62/15,817.98
  6. Step 6: Final answer
    x = 12,664.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.