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Finding the Fourth Proportional to 22,409.28, 33,611.36 and 5,992

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Solution

The fourth proportional to 22,409.28, 33,611.36 and 5,992 is: 8,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.28 : 33,611.36 = 5,992 : x
  2. Step 2: Convert to fraction form
    22,409.28/33,611.36 = 5,992/x
  3. Step 3: Cross multiply
    22,409.28x = 33,611.36 × 5,992
  4. Step 4: Simplify right side
    22,409.28x = 201,399,269.12
  5. Step 5: Solve for x
    x = 201,399,269.12/22,409.28
  6. Step 6: Final answer
    x = 8,987.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.