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Finding the Fourth Proportional to 23,539.49, 35,311.57 and 7,738.12

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Solution

The fourth proportional to 23,539.49, 35,311.57 and 7,738.12 is: 11,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.49 : 35,311.57 = 7,738.12 : x
  2. Step 2: Convert to fraction form
    23,539.49/35,311.57 = 7,738.12/x
  3. Step 3: Cross multiply
    23,539.49x = 35,311.57 × 7,738.12
  4. Step 4: Simplify right side
    23,539.49x = 273,244,992.21
  5. Step 5: Solve for x
    x = 273,244,992.21/23,539.49
  6. Step 6: Final answer
    x = 11,607.94

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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.