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Finding the Fourth Proportional to 23,523.30, 35,284.95 and 7,940.70

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Solution

The fourth proportional to 23,523.30, 35,284.95 and 7,940.70 is: 11,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.30 : 35,284.95 = 7,940.70 : x
  2. Step 2: Convert to fraction form
    23,523.30/35,284.95 = 7,940.70/x
  3. Step 3: Cross multiply
    23,523.30x = 35,284.95 × 7,940.70
  4. Step 4: Simplify right side
    23,523.30x = 280,187,202.47
  5. Step 5: Solve for x
    x = 280,187,202.47/23,523.30
  6. Step 6: Final answer
    x = 11,911.05

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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.