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Finding the Fourth Proportional to 23,574.25, 35,361.78 and 7,992.28

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Solution

The fourth proportional to 23,574.25, 35,361.78 and 7,992.28 is: 11,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.25 : 35,361.78 = 7,992.28 : x
  2. Step 2: Convert to fraction form
    23,574.25/35,361.78 = 7,992.28/x
  3. Step 3: Cross multiply
    23,574.25x = 35,361.78 × 7,992.28
  4. Step 4: Simplify right side
    23,574.25x = 282,621,247.06
  5. Step 5: Solve for x
    x = 282,621,247.06/23,574.25
  6. Step 6: Final answer
    x = 11,988.56

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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.