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Finding the Fourth Proportional to 23,976.96, 35,965.44 and 8,399.04

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Solution

The fourth proportional to 23,976.96, 35,965.44 and 8,399.04 is: 12,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.96 : 35,965.44 = 8,399.04 : x
  2. Step 2: Convert to fraction form
    23,976.96/35,965.44 = 8,399.04/x
  3. Step 3: Cross multiply
    23,976.96x = 35,965.44 × 8,399.04
  4. Step 4: Simplify right side
    23,976.96x = 302,075,169.18
  5. Step 5: Solve for x
    x = 302,075,169.18/23,976.96
  6. Step 6: Final answer
    x = 12,598.56

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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.