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Finding the Fourth Proportional to 23,526.66, 35,294.04 and 7,940.64

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Solution

The fourth proportional to 23,526.66, 35,294.04 and 7,940.64 is: 11,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526.66 : 35,294.04 = 7,940.64 : x
  2. Step 2: Convert to fraction form
    23,526.66/35,294.04 = 7,940.64/x
  3. Step 3: Cross multiply
    23,526.66x = 35,294.04 × 7,940.64
  4. Step 4: Simplify right side
    23,526.66x = 280,257,265.79
  5. Step 5: Solve for x
    x = 280,257,265.79/23,526.66
  6. Step 6: Final answer
    x = 11,912.33

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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.