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Finding the Fourth Proportional to 21,976.26, 32,969.79 and 6,394.02

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Solution

The fourth proportional to 21,976.26, 32,969.79 and 6,394.02 is: 9,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.26 : 32,969.79 = 6,394.02 : x
  2. Step 2: Convert to fraction form
    21,976.26/32,969.79 = 6,394.02/x
  3. Step 3: Cross multiply
    21,976.26x = 32,969.79 × 6,394.02
  4. Step 4: Simplify right side
    21,976.26x = 210,809,496.66
  5. Step 5: Solve for x
    x = 210,809,496.66/21,976.26
  6. Step 6: Final answer
    x = 9,592.60

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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.