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Finding the Fourth Proportional to 23,527.56, 35,294.22 and 7,941

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Solution

The fourth proportional to 23,527.56, 35,294.22 and 7,941 is: 11,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.56 : 35,294.22 = 7,941 : x
  2. Step 2: Convert to fraction form
    23,527.56/35,294.22 = 7,941/x
  3. Step 3: Cross multiply
    23,527.56x = 35,294.22 × 7,941
  4. Step 4: Simplify right side
    23,527.56x = 280,271,401.02
  5. Step 5: Solve for x
    x = 280,271,401.02/23,527.56
  6. Step 6: Final answer
    x = 11,912.47

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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.