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Finding the Fourth Proportional to 12,538.70, 18,771.14 and 9,266.40

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Solution

The fourth proportional to 12,538.70, 18,771.14 and 9,266.40 is: 13,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.70 : 18,771.14 = 9,266.40 : x
  2. Step 2: Convert to fraction form
    12,538.70/18,771.14 = 9,266.40/x
  3. Step 3: Cross multiply
    12,538.70x = 18,771.14 × 9,266.40
  4. Step 4: Simplify right side
    12,538.70x = 173,940,891.70
  5. Step 5: Solve for x
    x = 173,940,891.70/12,538.70
  6. Step 6: Final answer
    x = 13,872.32

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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.