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Finding the Fourth Proportional to 12,943.12, 17,861.27 and 7,638.42

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Solution

The fourth proportional to 12,943.12, 17,861.27 and 7,638.42 is: 10,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,943.12 : 17,861.27 = 7,638.42 : x
  2. Step 2: Convert to fraction form
    12,943.12/17,861.27 = 7,638.42/x
  3. Step 3: Cross multiply
    12,943.12x = 17,861.27 × 7,638.42
  4. Step 4: Simplify right side
    12,943.12x = 136,431,881.99
  5. Step 5: Solve for x
    x = 136,431,881.99/12,943.12
  6. Step 6: Final answer
    x = 10,540.88

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